Regular elements in CAT(0) groups

Details Regular elements in CAT(0) groups Regular elements in CAT(0) groups

2011-12-20

arxiv.org/abs/1112.4637v1

Mathematics

Group Theory

5 pages

Scientific paper

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.

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