Morse theory and conjugacy classes of finite subgroups

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dc.creatorBrady, Noel
dc.creatorClay, Matt
dc.creatorDani, Pallavi
dc.date2007-09-24
dc.date.accessioned2026-07-07T08:31:51Z
dc.date.available2026-07-07T08:31:51Z
dc.descriptionWe construct a CAT(0) group containing a finitely presented subgroup with infinitely many conjugacy classes of finite-order elements. Unlike previous examples (which were based on right-angled Artin groups) our ambient CAT(0) group does not contain any rank 3 free abelian subgroups. We also construct examples of groups of type F_n inside mapping class groups, Aut(F), and Out(F) which have infinitely many conjugacy classes of finite-order elements.
dc.description10 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0709.3802
dc.identifierhttp://arxiv.org/abs/0709.3802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138622
dc.subjectGroup Theory
dc.subject20F67; 20E45
dc.titleMorse theory and conjugacy classes of finite subgroups
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