Commensurated subgroups in finitely generated branch groups
(2017) Journal of Group Theory — Vol. 20, n° 2, p. 385-392 (2017)
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- Abstract
- A subgroup H ≤ G is commensurated if H : H ∩gHg-1 ∞ for all g ϵ G. We show that a finitely generated branch group is just infinite if and only if every commensurated subgroup is either finite or of finite index. As a consequence, every commensurated subgroup of the Grigorchuk group and many other branch groups of independent interest is either finite or of finite index.
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Wesolek, P. (2017). Commensurated subgroups in finitely generated branch groups. Journal of Group Theory, 20(2), 385-392. https://doi.org/10.1515/jgth-2016-0033 (Original work published 2017)