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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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
MitwirkendeR:
HerausgeberIn:
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1987
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 111
Online Access:
Physical Description:1 online resource (560 p.)
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Other title: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
Summary: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.
Format:Mode of access: Internet via World Wide Web.
ISBN:9781400882083
9783110494914
9783110442496
DOI:10.1515/9781400882083
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: ed. by John R. Stallings, S. M. Gersten.