Finitely generated subgroups of branch groups and subdirect products of just infinite groups
نویسندگان
چکیده
The aim of this paper is to describe the structure finitely generated subgroups a family branch groups, which includes first Grigorchuk group and Gupta-Sidki 3-group. This description made via notion block subgroup. We then use show that all groups in above are subgroup separable (LERF). These results obtained as corollary more general structural statement on subdirect products just infinite groups.
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ژورنال
عنوان ژورنال: Izvestiya: Mathematics
سال: 2021
ISSN: ['1468-4810', '1064-5632']
DOI: https://doi.org/10.1070/im9101