Morse theory and conjugacy classes of finite subgroups

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We 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.
10 pages, 4 figures

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Group Theory, 20F67; 20E45

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http://salesiana.dossiersoluciones.com/handle/123456789/138622

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.3802
 http://arxiv.org/abs/0709.3802

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arXiv