Survey on geometric group theory

Details Survey on geometric group theory Survey on geometric group theory

2008-06-23

arxiv.org/abs/0806.3771v2

Mathematics

Group Theory

28 pages. Following the two detailed referee reports we have improved the exposition and corrected typos. The paper will appea

Scientific paper

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.

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