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 Fn inside mapping class groups, Aut(double-struck Fk), and Out(double-struck Fk) which have infinitely many conjugacy classes of finite-order elements. © 2008 Springer Science+Business Media B.V.
Publication Source (Journal or Book title)
Brady, N., Clay, M., & Dani, P. (2008). Morse theory and conjugacy classes of finite subgroups. Geometriae Dedicata, 135 (1), 15-22. https://doi.org/10.1007/s10711-008-9257-x