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作者 Drutu Cornelia, 1967- author
書名 Geometric group theory / Cornelia Drutu Michael Kapovich ; with an appendix by Bogdan Nica
出版項 [Providence, Rhode Island] : American Mathematical Society, [2018]
國際標準書號 9781470411046
1470411040
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA183 D78 2018    在架上    30340200558207
說明 xx, 819 pages : illustrations ; 27 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 American Mathematical Society colloquium publications ; volume 63
Colloquium publications (American Mathematical Society) ; v. 63
附註 Includes bibliographical references (pages 787-811) and index
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
主題 Geometric group theory
Group theory
Geometric group theory. fast (OCoLC)fst00940833
Group theory. fast (OCoLC)fst00948521
Group theory and generalizations -- Special aspects of infinite or finite groups -- Geometric group theory. msc
Group theory and generalizations -- Special aspects of infinite or finite groups -- Hyperbolic groups and nonpositively curved groups. msc
Group theory and generalizations -- Special aspects of infinite or finite groups -- Asymptotic properties of groups. msc
Group theory and generalizations -- Special aspects of infinite or finite groups -- Generators, relations, and presentations. msc
Group theory and generalizations -- Special aspects of infinite or finite groups -- Solvable groups, supersolvable groups. msc
Group theory and generalizations -- Special aspects of infinite or finite groups -- Nilpotent groups. msc
Group theory and generalizations -- Special aspects of infinite or finite groups -- Fundamental groups and their automorphisms. msc
Group theory and generalizations -- Structure and classification of infinite or finite groups -- Groups acting on trees. msc
Group theory and generalizations -- Structure and classification of infinite or finite groups -- Residual properties and generalizations; residually finite groups. msc
Manifolds and cell complexes -- Low-dimensional topology -- Topological methods in group theory. msc
Alt Author Kapovich, Michael, 1963- author
Nica, Bogdan, 1977- writer of appendix
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