Survey on geometric group theory
Group Theory
2008-09-11 v2 Geometric Topology
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.
Cite
@article{arxiv.0806.3771,
title = {Survey on geometric group theory},
author = {Wolfgang Lueck},
journal= {arXiv preprint arXiv:0806.3771},
year = {2008}
}
Comments
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