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Geometric Group Theory Preliminary Version Under revision
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Geometric Group Theory Preliminary Version Under revision
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File Type :PDF
Number of Pages :817

Description
The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromovís Theorem on groups of polynomial growth. Topics covered includes: 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, Geometric aspects of solvable groups, Gromovís Theorem, Amenability and paradoxical decomposition, Proof of Stallingsí Theorem using harmonic functions.
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