Geometric group theory / Cornelia Druţu, Michael Kapovich ; with an appendix by Bogdan Nica.

Bibliographic Details
Main Authors: Druţu, Cornelia, 1967- (Author)
Kapovich, Michael, 1963- (Author)
Other Authors: Nica, Bogdan, 1977- (writer of appendix.)
Language:English
Published: [Providence, Rhode Island] : American Mathematical Society, [2018]
Series:Colloquium publications (American Mathematical Society) ; v. 63.
Subjects:
Physical Description:xx, 819 pages : illustrations ; 27 cm.
Format: Book

MARC

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100 1 |a Druţu, Cornelia,  |d 1967-  |e author.  |0 http://id.loc.gov/authorities/names/no2011100126 
245 1 0 |a Geometric group theory /  |c Cornelia Druţu, Michael Kapovich ; with an appendix by Bogdan Nica. 
264 1 |a [Providence, Rhode Island] :  |b American Mathematical Society,  |c [2018] 
300 |a xx, 819 pages :  |b illustrations ;  |c 27 cm. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a American Mathematical Society colloquium publications ;  |v volume 63 
504 |a Includes bibliographical references (pages 787-811) and index. 
505 0 |a Geometry and topology -- Metric spaces -- Differential geometry -- Hyperbolic space -- Groups and their actions -- Median spaces and spaces with measured walls -- Finitely generated and finitely presented groups -- Coarse geometry -- Coarse topology -- Ultralimits of metric spaces -- Gromov-hyperbolic spaces and groups -- Lattices in Lie groups -- Solvable groups -- Geometric aspects of solvable groups -- The Tits Alternative -- Gromov's Theorem -- The Banach-Tarski Paradox -- Amenability and paradoxical decomposition -- Ultralimits, fixed-point properties, proper actions -- The Stallings Theorem and accessibility -- Proof of Stallings' Theorem using harmonic functions -- Quasiconformal mappings -- Groups quasiisometric to H⁷² -- Quasiisometries of non-uniform lattices in H⁷² -- A survey of quasiisometric rigidity -- Appendix : three theorems on linear groups / by Bogdan Nica. 
650 0 |a Geometric group theory.  |0 http://id.loc.gov/authorities/subjects/sh92001537 
650 0 |a Group theory.  |0 http://id.loc.gov/authorities/subjects/sh85057512 
650 7 |a Geometric group theory.  |2 fast  |0 (OCoLC)fst00940833 
650 7 |a Group theory.  |2 fast  |0 (OCoLC)fst00948521 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Geometric group theory.  |2 msc 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Hyperbolic groups and nonpositively curved groups.  |2 msc 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Asymptotic properties of groups.  |2 msc 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Generators, relations, and presentations.  |2 msc 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Solvable groups, supersolvable groups.  |2 msc 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Nilpotent groups.  |2 msc 
650 7 |a Group theory and generalizations  |x Special aspects of infinite or finite groups  |x Fundamental groups and their automorphisms.  |2 msc 
650 7 |a Group theory and generalizations  |x Structure and classification of infinite or finite groups  |x Groups acting on trees.  |2 msc 
650 7 |a Group theory and generalizations  |x Structure and classification of infinite or finite groups  |x Residual properties and generalizations; residually finite groups.  |2 msc 
650 7 |a Manifolds and cell complexes  |x Low-dimensional topology  |x Topological methods in group theory.  |2 msc 
700 1 |a Kapovich, Michael,  |d 1963-  |e author.  |0 http://id.loc.gov/authorities/names/n00013214 
700 1 |a Nica, Bogdan,  |d 1977-  |e writer of appendix.  |0 http://id.loc.gov/authorities/names/no2009128370 
830 0 |a Colloquium publications (American Mathematical Society) ;  |v v. 63.  |0 http://id.loc.gov/authorities/names/n84729842 
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