Finitely generated subgroups of branch groups and subdirect products of just infinite groups Academic Article

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 GuptaSidki -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.

authors

• Grigorchuk, Rostislav

published proceedings

• IZVESTIYA MATHEMATICS

altmetric score

• 0.25

author list (cited authors)

• Grigorchuk, R. I., Leemann, P., & Nagnibeda, T. V.

citation count

• 0

complete list of authors

• Grigorchuk, RI||Leemann, P-H||Nagnibeda, TV

publication date

• December 2021

publisher

• IOP Publishing  Publisher

published in

• Izvestiya: Mathematics  Journal

keywords

• Branch Groups
• Just Infinite Groups
• Subdirect Products

Digital Object Identifier (DOI)

• 10.1070/IM9101

start page

• 1128

end page

• 1145

volume

• 85

issue

• 6

URL

• http://dx.doi.org/10.1070/im9101