Survey on geometric group theory

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Lueck, Wolfgang
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Abstract
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This article is a survey article on geometric group theory from the point of view of a non-expert who likes geometric group theory and uses it in his own research. The sections are: classical examples, basics about quasiisometry,properties and invariants of groups invariant under quasiisometry, rigidity, hyperbolic spaces and CAT(k)-spaces, the boundary of a hyperbolic space, hyperbolic groups, CAT(0)-groups, classifying spaces for proper actions, measurable group theory, some open problems.
Comment: 28 pages. Following the two detailed referee reports we have improved the exposition and corrected typos. The paper will appear in the Muenster Journal for Mathematics
Keywords
Mathematics - Group Theory, Mathematics - Geometric Topology, 20-02, 20F65, 20G67, 20F69, 57-02, 57M60, 57P10
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