arXiv:0709.3802 Abstract | arXiv Analytics

arXiv:0709.3802 [math.GR]Abstract References Reviews Resources

Morse theory and conjugacy classes of finite subgroups

Published 2007-09-24Version 1

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.

Comments: 10 pages, 4 figures

Categories: math.GR

Subjects: 20F67, 20E45

Keywords: conjugacy classes, finite subgroups, morse theory, finite-order elements, inside mapping class groups

Related articles: Most relevant | Search more

arXiv:0905.0095 [math.GR] (Published 2009-05-01)

Morse theory and conjugacy classes of finite subgroups II

Noel Brady, Matt Clay, Pallavi Dani

arXiv:1503.04046 [math.GR] (Published 2015-03-13)

Finite groups have more conjugacy classes

Barbara Baumeister, Attila Maróti, Hung P. Tong-Viet

arXiv:2002.04443 [math.GR] (Published 2020-02-10)