Finitely generated subgroups of branch groups and subdirect products of just infinite groups
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Published:2021-12-01
Issue:6
Volume:85
Page:1128-1145
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ISSN:1064-5632
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Container-title:Izvestiya: Mathematics
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language:
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Short-container-title:Izv. Math.
Author:
Grigorchuk R. I.,Leemann P.-H.,Nagnibeda T. V.
Abstract
Abstract
The aim of this paper is to describe the structure of finitely generated subgroups of a family of branch groups containing the first Grigorchuk group and the Gupta–Sidki
-group. We then use this to show that all the groups in this family are subgroup separable (LERF).
These results are obtained as a corollary of a more general structural statement on subdirect products of just infinite groups.
Funder
Agence Nationale de la Recherche
Ministry of Science and Higher Education of the Russian Federation
Subject
General Mathematics