عنوان

Geometric group theory /

1470411040

9781470411046

Geometric group theory /

[Book]

Cornelia Druţu, Michael Kapovich ; with an appendix by Bogdan Nica.

[Providence, Rhode Island] :

American Mathematical Society,

[2018]

xx, 819 pages :

illustrations ;

27 cm.

American Mathematical Society colloquium publications ;

volume 63

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.

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Geometric group theory.

Group theory.

Geometric group theory.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Asymptotic properties of groups.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Fundamental groups and their automorphisms.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Generators, relations, and presentations.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Geometric group theory.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Hyperbolic groups and nonpositively curved groups.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Nilpotent groups.

Group theory and generalizations-- Special aspects of infinite or finite groups-- Solvable groups, supersolvable groups.

Group theory and generalizations-- Structure and classification of infinite or finite groups-- Groups acting on trees.

Group theory and generalizations-- Structure and classification of infinite or finite groups-- Residual properties and generalizations; residually finite groups.

Group theory.

Manifolds and cell complexes-- Low-dimensional topology-- Topological methods in group theory.

Druţu, Cornelia,1967-

Kapovich, Michael,1963-

Nica, Bogdan,1977-

20200823025725.0

rda

[Book]

Y