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Topological and Asymptotic Aspects of Group Theory
| Softcover ISBN: | 978-0-8218-3756-6 |
| Product Code: | CONM/394 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-7984-9 |
| Product Code: | CONM/394.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-3756-6 |
| eBook: ISBN: | 978-0-8218-7984-9 |
| Product Code: | CONM/394.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Topological and Asymptotic Aspects of Group Theory
| Softcover ISBN: | 978-0-8218-3756-6 |
| Product Code: | CONM/394 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-7984-9 |
| Product Code: | CONM/394.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-3756-6 |
| eBook ISBN: | 978-0-8218-7984-9 |
| Product Code: | CONM/394.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Book DetailsContemporary MathematicsVolume: 394; 2006; 234 ppMSC: Primary 20; Secondary 55; 57
The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
ReadershipGraduate students and research mathematicians interested in geometric group theory.
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Table of Contents
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Articles
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Goulnara N. Arzhantseva — A dichotomy for finitely generated subgroups of word hyperbolic groups [ MR 2216702 ]
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Laurent Bartholdi and Zoran Šuniḱ — Some solvable automaton groups [ MR 2216703 ]
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Alexandre V. Borovik and Alexei G. Myasnikov — Quotient tests and random walks in computational group theory [ MR 2216704 ]
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Kenneth S. Brown — The homology of Richard Thompson’s group $F$ [ MR 2216705 ]
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Kai-Uwe Bux and Rodrigo Pérez — On the growth of iterated monodromy groups [ MR 2216706 ]
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A. N. Dranishnikov — On Bestvina-Mess formula [ MR 2216707 ]
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Ken Dykema — Symmetric random walks on certain amalgamated free product groups [ MR 2216708 ]
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Daniel Farley — Homology of tree braid groups [ MR 2216709 ]
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Ross Geoghegan and Fernando Guzmán — Associativity and Thompson’s group [ MR 2216710 ]
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V. S. Guba — Traveller salesman property and Richard Thompson’s group $F$ [ MR 2216711 ]
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S. V. Ivanov — On groups with periodic products of commutators [ MR 2216712 ]
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Ilya Kapovich — Currents on free groups [ MR 2216713 ]
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Anders Karlsson and Markus Neuhauser — Heat kernels, theta identities, and zeta functions on cyclic groups [ MR 2216714 ]
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Michael R. Kelly — The Nielsen fixed point structure for homotopy idempotents on surfaces [ MR 2216715 ]
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Terrence Napier and Mohan Ramachandran — Thompson’s group $F$ is not Kähler [ MR 2216716 ]
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A. Yu. Ol′shanskii and M. V. Sapir — Groups with non-simply connected asymptotic cones [ MR 2216717 ]
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D. V. Osin — Relative Dehn functions of amalgamated products and HNN-extensions [ MR 2216718 ]
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A. M. Brunner and Said N. Sidki — Endomorphisms of the finitary group of isometries of the binary tree [ MR 2216719 ]
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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Volume: 394; 2006; 234 pp
MSC: Primary 20; Secondary 55; 57
The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
Readership
Graduate students and research mathematicians interested in geometric group theory.
-
Articles
-
Goulnara N. Arzhantseva — A dichotomy for finitely generated subgroups of word hyperbolic groups [ MR 2216702 ]
-
Laurent Bartholdi and Zoran Šuniḱ — Some solvable automaton groups [ MR 2216703 ]
-
Alexandre V. Borovik and Alexei G. Myasnikov — Quotient tests and random walks in computational group theory [ MR 2216704 ]
-
Kenneth S. Brown — The homology of Richard Thompson’s group $F$ [ MR 2216705 ]
-
Kai-Uwe Bux and Rodrigo Pérez — On the growth of iterated monodromy groups [ MR 2216706 ]
-
A. N. Dranishnikov — On Bestvina-Mess formula [ MR 2216707 ]
-
Ken Dykema — Symmetric random walks on certain amalgamated free product groups [ MR 2216708 ]
-
Daniel Farley — Homology of tree braid groups [ MR 2216709 ]
-
Ross Geoghegan and Fernando Guzmán — Associativity and Thompson’s group [ MR 2216710 ]
-
V. S. Guba — Traveller salesman property and Richard Thompson’s group $F$ [ MR 2216711 ]
-
S. V. Ivanov — On groups with periodic products of commutators [ MR 2216712 ]
-
Ilya Kapovich — Currents on free groups [ MR 2216713 ]
-
Anders Karlsson and Markus Neuhauser — Heat kernels, theta identities, and zeta functions on cyclic groups [ MR 2216714 ]
-
Michael R. Kelly — The Nielsen fixed point structure for homotopy idempotents on surfaces [ MR 2216715 ]
-
Terrence Napier and Mohan Ramachandran — Thompson’s group $F$ is not Kähler [ MR 2216716 ]
-
A. Yu. Ol′shanskii and M. V. Sapir — Groups with non-simply connected asymptotic cones [ MR 2216717 ]
-
D. V. Osin — Relative Dehn functions of amalgamated products and HNN-extensions [ MR 2216718 ]
-
A. M. Brunner and Said N. Sidki — Endomorphisms of the finitary group of isometries of the binary tree [ MR 2216719 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.