Survey on geometric group theory
arXiv:0806.3771
Abstract
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.
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
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