Regular elements in CAT(0) groups
Group Theory
2011-12-21 v1
Abstract
Let X be a locally compact geodesically complete CAT(0) space and G be a discrete group acting properly and cocompactly on X. We show that G contains an element acting as a hyperbolic isometry on each indecomposable de Rham factor of X. It follows that if X is a product of d factors, then G contains free abelian group of rank d.
Cite
@article{arxiv.1112.4637,
title = {Regular elements in CAT(0) groups},
author = {Pierre-Emmanuel Caprace and Gašper Zadnik},
journal= {arXiv preprint arXiv:1112.4637},
year = {2011}
}
Comments
5 pages