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arXiv · 1504.00613

Virtually compact special hyperbolic groups are conjugacy separable

Ashot Minasyan·Pavel Zalesskii
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Abstract

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.

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Ashot Minasyan, Pavel Zalesskii. 2015-04-02. Virtually compact special hyperbolic groups are conjugacy separable. https://arxiv.org/abs/1504.00613

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