We construct a hyperbolic group containing a finitely presented subgroup, which has infinitely many conjugacy classes of finite-order elements. We also use a version of Morse theory with high dimensional horizontal cells and use handle cancellation arguments to produce other examples of subgroups of CAT(0) groups with infinitely many conjugacy classes of finite-order elements. © 2009 Springer Science+Business Media B.V.
Publication Source (Journal or Book title)
Brady, N., Clay, M., & Dani, P. (2010). Morse theory and conjugacy classes of finite subgroups II. Geometriae Dedicata, 147 (1), 1-14. https://doi.org/10.1007/s10711-009-9435-5