Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / ed. by John R. Stallings, S. M. Gersten.
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah...
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1987 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
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| Physical Description: | 1 online resource (560 p.) |
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Combinatorial Group Theory and Topology. (AM-111), Volume 111 / ed. by John R. Stallings, S. M. Gersten. Princeton, NJ : Princeton University Press, [2016] ©1987 1 online resource (560 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 111 Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS -- THE TODD-COXETER PROCESS, USING GRAPHS -- A SUBGROUP THEOREM FOR PREGROUPS -- GROUPS WITH A RATIONAL CROSS-SECTION -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II -- SELECTED PROBLEMS -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah.Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Combinatorial group theory Congresses. Topology Congresses. MATHEMATICS / Group Theory. bisacsh Abelian group. Algebraic equation. Algebraic integer. Automorphism. Basis (linear algebra). Betti number. Cayley graph. Cayley-Hamilton theorem. Characteristic polynomial. Characteristic subgroup. Characterization (mathematics). Classifying space. Combinatorial group theory. Combinatorics. Commutative algebra. Commutative property. Commutator subgroup. Compactification (mathematics). Complement (set theory). Conformal map. Conjugacy class. Connected component (graph theory). Connectivity (graph theory). Coprime integers. Coset. Coxeter group. Cyclic group. Cyclic permutation. Degeneracy (mathematics). Dehn's lemma. Diagram (category theory). Dirac delta function. Disk (mathematics). Epimorphism. Equation. Euclidean group. Finite group. Finitely generated abelian group. Finitely generated group. Free abelian group. Free group. Freiheitssatz. Fuchsian group. Function (mathematics). Fundamental domain. Fundamental group. Fundamental lemma (Langlands program). G-module. General linear group. Generating set of a group. Geodesic. Graph (discrete mathematics). Graph of groups. Graph product. Group theory. Haken manifold. Harmonic analysis. Homological algebra. Homology (mathematics). Homomorphism. Homotopy. Hurwitz's theorem (number theory). Hyperbolic 3-manifold. Identity theorem. Inclusion map. Inequality (mathematics). Inner automorphism. Intersection (set theory). Intersection number (graph theory). Intersection number. Invertible matrix. Jacobian matrix and determinant. Knot theory. Limit point. Mapping class group. Mapping cone (homological algebra). Mathematical induction. Module (mathematics). Parity (mathematics). Poincaré conjecture. Prime number. Pullback (category theory). Quotient group. Representation theory. Residually finite group. Riemann surface. Seifert-van Kampen theorem. Separatrix (mathematics). Set theory. Simplicial complex. Sphere theorem (3-manifolds). Sphere theorem. Subgroup. Sylow theorems. Theorem. Topology. Union (set theory). Uniqueness theorem. Variable (mathematics). Word problem (mathematics). Alperin, Roger, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bass, Hyman, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Benson, Max, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Birman, Joan S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bleiler, Steven A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cohen, Marshall, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Collins, Donald J ., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Craggs, Robert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dyer, Micheal, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Eckmann, Beno, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gersten, S. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gersten, S. M., editor. edt http://id.loc.gov/vocabulary/relators/edt Gilman, Jane, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gilman, Robert H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hempel, John, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Howie, James, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lustig, Martin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lyndon, Roger, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Neuwirth, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nicas, A. J, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Patterson, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ratcliffe, John G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rimlinger, Frank, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Series, Caroline, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stallings, John R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stallings, John R., editor. edt http://id.loc.gov/vocabulary/relators/edt Stark, C.W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wolf, A. Royce, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691084107 https://doi.org/10.1515/9781400882083 https://www.degruyter.com/isbn/9781400882083 Cover https://www.degruyter.com/document/cover/isbn/9781400882083/original |
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Alperin, Roger, Alperin, Roger, Bass, Hyman, Bass, Hyman, Benson, Max, Benson, Max, Birman, Joan S., Birman, Joan S., Bleiler, Steven A., Bleiler, Steven A., Cohen, Marshall, Cohen, Marshall, Collins, Donald J ., Collins, Donald J ., Craggs, Robert, Craggs, Robert, Dyer, Micheal, Dyer, Micheal, Eckmann, Beno, Eckmann, Beno, Gersten, S. M., Gersten, S. M., Gersten, S. M., Gersten, S. M., Gilman, Jane, Gilman, Jane, Gilman, Robert H., Gilman, Robert H., Hempel, John, Hempel, John, Howie, James, Howie, James, Lustig, Martin, Lustig, Martin, Lyndon, Roger, Lyndon, Roger, Neuwirth, L., Neuwirth, L., Nicas, A. J, Nicas, A. J, Patterson, N., Patterson, N., Ratcliffe, John G., Ratcliffe, John G., Rimlinger, Frank, Rimlinger, Frank, Series, Caroline, Series, Caroline, Stallings, John R., Stallings, John R., Stallings, John R., Stallings, John R., Stark, C.W., Stark, C.W., Wolf, A. Royce, Wolf, A. Royce, |
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Alperin, Roger, |
| title |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / |
| spellingShingle |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / Annals of Mathematics Studies ; Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS -- THE TODD-COXETER PROCESS, USING GRAPHS -- A SUBGROUP THEOREM FOR PREGROUPS -- GROUPS WITH A RATIONAL CROSS-SECTION -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II -- SELECTED PROBLEMS -- Backmatter |
| title_full |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / ed. by John R. Stallings, S. M. Gersten. |
| title_fullStr |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / ed. by John R. Stallings, S. M. Gersten. |
| title_full_unstemmed |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / ed. by John R. Stallings, S. M. Gersten. |
| title_auth |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / |
| title_alt |
Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS -- THE TODD-COXETER PROCESS, USING GRAPHS -- A SUBGROUP THEOREM FOR PREGROUPS -- GROUPS WITH A RATIONAL CROSS-SECTION -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II -- SELECTED PROBLEMS -- Backmatter |
| title_new |
Combinatorial Group Theory and Topology. (AM-111), Volume 111 / |
| title_sort |
combinatorial group theory and topology. (am-111), volume 111 / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
2016 |
| physical |
1 online resource (560 p.) Issued also in print. |
| contents |
Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS -- THE TODD-COXETER PROCESS, USING GRAPHS -- A SUBGROUP THEOREM FOR PREGROUPS -- GROUPS WITH A RATIONAL CROSS-SECTION -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II -- SELECTED PROBLEMS -- Backmatter |
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9781400882083 9783110494914 9783110442496 9780691084107 |
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Q - Science |
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QA - Mathematics |
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QA171 |
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QA 3171 C6784 41987 |
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Congresses. |
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https://doi.org/10.1515/9781400882083 https://www.degruyter.com/isbn/9781400882083 https://www.degruyter.com/document/cover/isbn/9781400882083/original |
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Not Illustrated |
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500 - Science |
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510 - Mathematics |
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512 - Algebra |
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512/.22 |
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512/.22 |
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512/.22 |
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(AM-111), Volume 111 /</subfield><subfield code="c">ed. by John R. Stallings, S. M. Gersten.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2016]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1987</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (560 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Annals of Mathematics Studies ;</subfield><subfield code="v">111</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">CONTENTS -- </subfield><subfield code="t">PREFACE -- </subfield><subfield code="t">I. Combinatorial Group Theory -- </subfield><subfield code="t">PROBLEMS IN COMBINATORIAL GROUP THEORY -- </subfield><subfield code="t">POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS -- </subfield><subfield code="t">HOW TO GENERALIZE ONE-RELATOR GROUP THEORY -- </subfield><subfield code="t">GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS -- </subfield><subfield code="t">PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS -- </subfield><subfield code="t">NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS -- </subfield><subfield code="t">GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS -- </subfield><subfield code="t">THE TODD-COXETER PROCESS, USING GRAPHS -- </subfield><subfield code="t">A SUBGROUP THEOREM FOR PREGROUPS -- </subfield><subfield code="t">GROUPS WITH A RATIONAL CROSS-SECTION -- </subfield><subfield code="t">ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS -- </subfield><subfield code="t">SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- </subfield><subfield code="t">ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES -- </subfield><subfield code="t">ON COMPLEXES DOMINATED BY A TWO-COMPLEX -- </subfield><subfield code="t">SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES -- </subfield><subfield code="t">LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES -- </subfield><subfield code="t">II. Very Low Dimensional Topology -- </subfield><subfield code="t">RESIDUAL FINITENESS FOR 3-MANIFOLDS -- </subfield><subfield code="t">THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS -- </subfield><subfield code="t">WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II -- </subfield><subfield code="t">CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP -- </subfield><subfield code="t">A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS -- </subfield><subfield code="t">DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES -- </subfield><subfield code="t">PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I -- </subfield><subfield code="t">PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II -- </subfield><subfield code="t">SELECTED PROBLEMS -- </subfield><subfield code="t">Backmatter</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah.Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Combinatorial group theory</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Topology</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Group Theory.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Abelian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Algebraic integer.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Basis (linear algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Betti number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cayley graph.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cayley-Hamilton theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characteristic polynomial.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characteristic subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Characterization (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Classifying space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Combinatorial group theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Combinatorics.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutative algebra.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutative property.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Commutator subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Compactification (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Complement (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conformal map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conjugacy class.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connected component (graph theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Connectivity (graph theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coprime integers.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Coxeter group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cyclic group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cyclic permutation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Degeneracy (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dehn's lemma.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Diagram (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dirac delta function.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Disk (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Epimorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Euclidean group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Finite group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Finitely generated abelian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Finitely generated group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Free abelian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Free group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Freiheitssatz.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fuchsian group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Function (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental domain.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fundamental lemma (Langlands program).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">G-module.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">General linear group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Generating set of a group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Geodesic.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graph (discrete mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graph of groups.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Graph product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Group theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Haken manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Harmonic analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homological algebra.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homology (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Homotopy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hurwitz's theorem (number theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Hyperbolic 3-manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Identity theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inclusion map.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inequality (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Inner automorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection number (graph theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Intersection number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Invertible matrix.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Jacobian matrix and determinant.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Knot theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Limit point.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mapping class group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mapping cone (homological algebra).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical induction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Module (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parity (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Poincaré conjecture.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Prime number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pullback (category theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quotient group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Representation theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Residually finite group.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann surface.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Seifert-van Kampen theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Separatrix (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Set theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Simplicial complex.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sphere theorem (3-manifolds).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sphere theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subgroup.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sylow theorems.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Union (set theory).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Uniqueness theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Variable (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Word problem (mathematics).</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Alperin, Roger, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bass, Hyman, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Benson, Max, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Birman, Joan S., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bleiler, Steven A., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Cohen, Marshall, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Collins, Donald J ., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Craggs, Robert, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dyer, Micheal, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Eckmann, Beno, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gersten, S. M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gersten, S. 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