| Document Type
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BL
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| Record Number
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850254
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| Main Entry
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Druţu, Cornelia,1967-
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| Title & Author
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Geometric group theory /\ Cornelia Druţu, Michael Kapovich ; with an appendix by Bogdan Nica.
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| Publication Statement
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[Providence, Rhode Island] :: American Mathematical Society,, [2018]
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| Series Statement
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American Mathematical Society colloquium publications ;; volume 63
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| Page. NO
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xx, 819 pages :: illustrations ;; 27 cm.
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| ISBN
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1470411040
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: 9781470411046
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| Bibliographies/Indexes
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Includes bibliographical references (pages 787-811) and index.
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| Contents
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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.
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| Subject
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Geometric group theory.
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Group theory.
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Geometric group theory.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Asymptotic properties of groups.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Fundamental groups and their automorphisms.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Generators, relations, and presentations.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Geometric group theory.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Hyperbolic groups and nonpositively curved groups.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Nilpotent groups.
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Group theory and generalizations-- Special aspects of infinite or finite groups-- Solvable groups, supersolvable groups.
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Group theory and generalizations-- Structure and classification of infinite or finite groups-- Groups acting on trees.
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Group theory and generalizations-- Structure and classification of infinite or finite groups-- Residual properties and generalizations; residually finite groups.
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Group theory.
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Manifolds and cell complexes-- Low-dimensional topology-- Topological methods in group theory.
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| Dewey Classification
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512/.23
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| LC Classification
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QA183.D78 2018
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| NLM classification
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20F6520F6720F6920F0520F1620F1820F3420E0820E2657M07msc
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| Added Entry
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Kapovich, Michael,1963-
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Nica, Bogdan,1977-
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