David Meintrup and Thomas Schick: A model for the universal space for proper actions of a hyperbolic group
- Autor:
David Meintrup and Thomas Schick
- Titel: : A model for the universal space for proper actions of a hyperbolic group
(dvi) (pdf)
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New York J. Math.}, 8:1--7 (electronic), 2002.
Abstract:
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 $\eg$ of proper
actions. As a corollary we get that a hyperbolic group has only finitely many
conjugacy classes of finite subgroups.
Thomas Schick