Commentarii Mathematici Helvetici
Full-Text PDF (262 KB) | Metadata | Table of Contents | CMH summary
Published online: 2016-10-24
Virtually compact special hyperbolic groups are conjugacy separableAshot Minasyan and Pavel A. Zalesskiĭ (1) University of Southampton, United Kingdom
(2) Universidade de Brasília, Brazil
We prove that any word hyperbolic group which is virtually compact special (in the sense of Haglund and Wise) is conjugacy separable. As a consequence we deduce that all word hyperbolic Coxeter groups and many classical small cancellation groups are conjugacy separable. To get the main result we establish a new criterion for showing that elements of prime order are conjugacy distinguished. This criterion is of independent interest; its proof is based on a combination of discrete and profinite (co)homology theories.
Keywords: Conjugacy separable, virtually special groups, hyperbolic groups
Minasyan Ashot, Zalesskiĭ Pavel: Virtually compact special hyperbolic groups are conjugacy separable. Comment. Math. Helv. 91 (2016), 609-627. doi: 10.4171/CMH/397