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BIRS Workshop Lecture Videos

Commensurated subgroups of finitely generated branch groups Wesolek, Phillip


We first recall a completion operation which takes as input a group with a commensurated subgroup and outputs a locally compact group. This operation allows one to study finitely generated groups via locally compact groups and vice versa. We apply this completion to study the compelling class of finitely generated branch groups. In particular, we show every commensurated subgroup of a just infinite finitely generated branch group is either finite or of finite index.

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