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On infinite torsion subgroups of CAT(0) groups

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NPC - Non-positive curvature group actions and cohomology

It is know that every CAT group contains a hyperbolic element, but it is still an open question if a CAT group can contain a (needs be) finitely generated infinite torsion subgroup. (For cube complexes the answer is no by the strong Tits alternative of Caprace and Sageev.) I will demonstrate some of the restrictions on such a subgroup. 



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Faculty of Education, 184 Hills Road, Cambridge, CB2 8PQ, (Rm GS1), Donald McIntyre Building) CMS, MR20 Department of Chemistry, Lensfield Road, University of Cambridge, CB2 1EW

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