A Model for the Universal Space for Proper Actions of a Hyperbolic Group

Details A Model for the Universal Space for Proper Actions of a Hyperbolic Group A Model for the Universal Space for Proper Actions of a Hyperbolic Group

2002-09-13

arxiv.org/abs/math/0209163v3

New York J. Math., 8:1--7 (electronic), 2002

Mathematics

Metric Geometry

Comma in metadata (author field) added

Scientific paper

Let $G$ be a word hyperbolic group in the sense of Gromov and $P$ its associated Rips complex. We prove that the fixed point set $P^H$ is contractible for every finite subgroups $H$ of $G$. This is the main ingredient for proving that $P$ is a finite model for the universal space $e.g.$ of proper actions. As a corollary we get that a hyperbolic group has only finitely many conjugacy classes of finite subgroups.

Affiliated with

Also associated with

No associations

Rating

A Model for the Universal Space for Proper Actions of a Hyperbolic Group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Model for the Universal Space for Proper Actions of a Hyperbolic Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Model for the Universal Space for Proper Actions of a Hyperbolic Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330845