Regular elements in CAT(0) groups
Author(s) -
PierreEmmanuel Caprace,
Gašper Zadnik
Publication year - 2013
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/195
Subject(s) - mathematics , pure mathematics , combinatorics
Let X be a locally compact geodesically complete CAT.0/ space and F be a discrete group acting properly and cocompactly on X. We show that F 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 F contains ℤ
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