Regular elements in CAT(0) groups
Pierre-Emmanuel Caprace
Université Catholique de Louvain, BelgiumGašper Zadnik
University of Ljubljana, Slovenia
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Abstract
Let be a locally compact geodesically complete space and be a discrete group acting properly and cocompactly on . We show that contains an element acting as a hyperbolic isometry on each indecomposable de Rham factor of . It follows that if is a product of factors, then contains .
Cite this article
Pierre-Emmanuel Caprace, Gašper Zadnik, Regular elements in CAT(0) groups. Groups Geom. Dyn. 7 (2013), no. 3, pp. 535–541
DOI 10.4171/GGD/195