Regular elements in CAT.0/ groups

Caprace, Pierre-Emmanuel;Zadnik, Gaper
(2013) Groups, Geometry, and Dynamics — Vol. 7, n° 3, p. 535-541 (2013)

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Abstract
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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Caprace, P.-E., & Zadnik, G. (2013). Regular elements in CAT.0/ groups. Groups, Geometry, and Dynamics, 7(3), 535-541. https://doi.org/10.4171/GGD/195 (Original work published 2013)