An uncountable family of finitely generated residually finite groups
نویسندگان
چکیده
We study a family of finitely generated residually finite groups. These groups are doubles $F_2*_H F_2$ rank-$2$ free group $F_2$ along an infinitely subgroup $H$. Varying $H$ yields uncountably many up to isomorphism.
منابع مشابه
Finitely generated nilpotent groups are finitely presented and residually finite
Definition 1. Let G be a group. G is said to be residually finite if the intersection of all normal subgroups of G of finite index in G is trivial. For a survey of results on residual finiteness and related properties, see Mag-nus, Karrass, and Solitar [6, Section 6.5]. We shall present a proof of the following well known theorem, which is important for Kharlampovich [4, 5]. See also O. V. Bele...
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2021
ISSN: ['1435-4446', '1433-5883']
DOI: https://doi.org/10.1515/jgth-2021-0094