Morse theory and conjugacy classes of finite subgroups |
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Authors: | Noel Brady Matt Clay Pallavi Dani |
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Institution: | (1) Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA |
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Abstract: | 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(), and Out() which have infinitely many conjugacy classes of finite-order elements.
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Keywords: | Morse theory Conjugacy classes of finite subgroups |
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