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Conjugacy separability of unipotent suspensions

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OGGW01 - Discrete and profinite groups

A group is conjugacy separable if the conjugacy class of every element is closed in the profinite topology. We prove that free-by-cyclic groups with unipotent and polynomially growing monodromy are conjugacy separable. Along the way, we show that double cosets of cyclic subgroups are separable and cyclic subgroups satisfy the Wilton—Zalesskii property. Our methods involve constructing vertex fillings and p-quotients. This is based on joint work with Francois Dahmani, Sam Hughes and Nicholas Touikan. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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