Office Hours with a Geometric Group Theorist / / ed. by Dan Margalit, Matt Clay.
Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instructi...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2017 |
|---|---|
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| HerausgeberIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2017] ©2017 |
| Year of Publication: | 2017 |
| Edition: | Pilot project,eBook available to selected US libraries only |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (456 p.) :; 136 color illus. 2 halftones. 86 line illus. 2 tables. |
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| LEADER | 09968nam a22022815i 4500 | ||
|---|---|---|---|
| 001 | 9781400885398 | ||
| 003 | DE-B1597 | ||
| 005 | 20210830012106.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 210830t20172017nju fo d z eng d | ||
| 019 | |a (OCoLC)1029835125 | ||
| 019 | |a (OCoLC)987790936 | ||
| 020 | |a 9781400885398 | ||
| 024 | 7 | |a 10.1515/9781400885398 |2 doi | |
| 035 | |a (DE-B1597)479656 | ||
| 035 | |a (OCoLC)984688582 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA183 |b .O44 2018 | |
| 072 | 7 | |a MAT014000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.2 |2 23 |
| 084 | |a SK 260 |2 rvk |0 (DE-625)rvk/143227: | ||
| 245 | 0 | 0 | |a Office Hours with a Geometric Group Theorist / |c ed. by Dan Margalit, Matt Clay. |
| 250 | |a Pilot project,eBook available to selected US libraries only | ||
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (456 p.) : |b 136 color illus. 2 halftones. 86 line illus. 2 tables. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Acknowledgments -- |t Part 1. Groups and Spaces -- |t 1. Groups -- |t 2. ... and Spaces -- |t Part 2. Free Groups -- |t 3. Groups Acting on Trees -- |t 4. Free Groups and Folding -- |t 5. The Ping-Pong Lemma -- |t 6. Automorphisms of Free Groups -- |t Part 3. Large Scale Geometry -- |t 7. Quasi-isometries -- |t 8. Dehn Functions -- |t 9. Hyperbolic Groups -- |t 10. Ends of Groups -- |t 11. Asymptotic Dimension -- |t 12. Growth of Groups -- |t Part 4. Examples -- |t 13. Coxeter Groups -- |t 14. Right-Angled Artin Groups -- |t 15. Lamplighter Groups -- |t 16. Thompson's Group -- |t 17. Mapping Class Groups -- |t 18. Braids -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors.An essential primer for undergraduates making the leap to graduate work, the book begins with free groups-actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples.Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Geometric group theory. | |
| 650 | 7 | |a MATHEMATICS / Group Theory. |2 bisacsh | |
| 653 | |a "ient. | ||
| 653 | |a 4-valent tree. | ||
| 653 | |a Cantor set. | ||
| 653 | |a Cayley 2-complex. | ||
| 653 | |a Cayley graph. | ||
| 653 | |a Coxeter group. | ||
| 653 | |a DSV method. | ||
| 653 | |a Dehn function. | ||
| 653 | |a Dehn twist. | ||
| 653 | |a Euclidean space. | ||
| 653 | |a Farey complex. | ||
| 653 | |a Farey graph. | ||
| 653 | |a Farey tree. | ||
| 653 | |a Gromov hyperbolicity. | ||
| 653 | |a Klein's criterion. | ||
| 653 | |a Milnor-Schwarz lemma. | ||
| 653 | |a Möbius transformation. | ||
| 653 | |a Nielsen-Schreier Subgroup theorem. | ||
| 653 | |a Perron-Frobenius theorem. | ||
| 653 | |a Riemannian manifold. | ||
| 653 | |a Schottky lemma. | ||
| 653 | |a Thompson's group. | ||
| 653 | |a asymptotic dimension. | ||
| 653 | |a automorphism group. | ||
| 653 | |a automorphism. | ||
| 653 | |a bi-Lipschitz equivalence. | ||
| 653 | |a braid group. | ||
| 653 | |a braids. | ||
| 653 | |a coarse isometry. | ||
| 653 | |a combinatorics. | ||
| 653 | |a compact orientable surface. | ||
| 653 | |a cone type. | ||
| 653 | |a configuration space. | ||
| 653 | |a context-free grammar. | ||
| 653 | |a curvature. | ||
| 653 | |a dead end. | ||
| 653 | |a distortion. | ||
| 653 | |a endomorphism. | ||
| 653 | |a finite group. | ||
| 653 | |a folding. | ||
| 653 | |a formal language. | ||
| 653 | |a free abelian group. | ||
| 653 | |a free action. | ||
| 653 | |a free expansion. | ||
| 653 | |a free group. | ||
| 653 | |a free nonabelian group. | ||
| 653 | |a free reduction. | ||
| 653 | |a generators. | ||
| 653 | |a geometric group theory. | ||
| 653 | |a geometric object. | ||
| 653 | |a geometric space. | ||
| 653 | |a graph. | ||
| 653 | |a group action. | ||
| 653 | |a group element. | ||
| 653 | |a group ends. | ||
| 653 | |a group growth. | ||
| 653 | |a group presentation. | ||
| 653 | |a group theory. | ||
| 653 | |a group. | ||
| 653 | |a homeomorphism. | ||
| 653 | |a homomorphism. | ||
| 653 | |a hyperbolic geometry. | ||
| 653 | |a hyperbolic group. | ||
| 653 | |a hyperbolic space. | ||
| 653 | |a hyperbolicity. | ||
| 653 | |a hyperplane arrangements. | ||
| 653 | |a index. | ||
| 653 | |a infinite graph. | ||
| 653 | |a infinite group. | ||
| 653 | |a integers. | ||
| 653 | |a isoperimetric problem. | ||
| 653 | |a isoperimetry. | ||
| 653 | |a jigsaw puzzle. | ||
| 653 | |a knot theory. | ||
| 653 | |a lamplighter group. | ||
| 653 | |a manifold. | ||
| 653 | |a mapping class group. | ||
| 653 | |a mathematics. | ||
| 653 | |a membership problem. | ||
| 653 | |a metric space. | ||
| 653 | |a non-free action. | ||
| 653 | |a normal subgroup. | ||
| 653 | |a path metric. | ||
| 653 | |a ping-pong lemma. | ||
| 653 | |a ping-pong. | ||
| 653 | |a polynomial growth theorem. | ||
| 653 | |a product. | ||
| 653 | |a punctured disks. | ||
| 653 | |a quasi-isometric equivalence. | ||
| 653 | |a quasi-isometric rigidity. | ||
| 653 | |a quasi-isometry group. | ||
| 653 | |a quasi-isometry invariant. | ||
| 653 | |a quasi-isometry. | ||
| 653 | |a reflection group. | ||
| 653 | |a reflection. | ||
| 653 | |a relators. | ||
| 653 | |a residual finiteness. | ||
| 653 | |a right-angled Artin group. | ||
| 653 | |a robotics. | ||
| 653 | |a semidirect product. | ||
| 653 | |a space. | ||
| 653 | |a surface group. | ||
| 653 | |a surface. | ||
| 653 | |a symmetric group. | ||
| 653 | |a symmetry. | ||
| 653 | |a topological model. | ||
| 653 | |a topology. | ||
| 653 | |a train track. | ||
| 653 | |a tree. | ||
| 653 | |a word length. | ||
| 653 | |a word metric. | ||
| 653 | |a word problem. | ||
| 700 | 1 | |a Abrams, Aaron, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Bell, Greg, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Bell, Robert W., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Brendle, Tara, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Childers, Leah, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Clay, Matt, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Clay, Matt, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Cleary, Sean, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Duchin, Moon, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Freden, Eric, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Koban, Nic, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Mangahas, Johanna, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Margalit, Dan, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Margalit, Dan, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Meier, John, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Piggott, Adam, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Riley, Timothy, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Taback, Jennifer, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Thomas, Anne, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2017 |z 9783110543322 |
| 776 | 0 | |c print |z 9780691158662 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400885398?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400885398 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9781400885398.jpg |
| 912 | |a 978-3-11-054332-2 Princeton University Press Complete eBook-Package 2017 |b 2017 | ||
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