60f Geometric group theory (Book, 2018) [WorldCat.org]
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Geometric group theory

Author: Cornelia Druţu; Michael Kapovich; Bogdan Nica
Publisher: Providence, Rhode Island American Mathematical Society [2018]
Series: American Mathematical Society colloquium publications, volume 63
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Filling a big gap in the literature, this book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative,  Read more...

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Document Type: Book
All Authors / Contributors: Cornelia Druţu; Michael Kapovich; Bogdan Nica
ISBN: 9781470411046 1470411040
OCLC Number: 1027719640
Description: Seiten cm
Contents: Geometry and topologyMetric spacesDifferential geometryHyperbolic spaceGroups and their actionsMedian spaces and spaces with measured wallsFinitely generated and finitely presented groupsCoarse geometryCoarse topologyUltralimits of metric spacesGromov-hyperbolic spaces and groupsLattices in Lie groupsSolvable groupsGeometric aspects of solvable groupsThe Tits alternativeGromov's theoremThe Banach-Tarski paradoxAmenability and paradoxical decompositionUltralimits, fixed point properties, proper actionsStallings's theorem and accessibilityProof of Stallings's theorem using harmonic functionsQuasiconformal mappingsGroups quasiisometric to $\mathbb{H}^n$Quasiisometries of nonuniform lattices in $\mathbb{H}^n$A survey of quasiisometric rigidityAppendix: Three theorems on linear groupsBibliographyIndex
Series Title: American Mathematical Society colloquium publications, volume 63
Responsibility: Cornelia Druţu, Michael Kapovich ; with an appendix by Bogdan Nica

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