An Uncountable Family of Finitely Generated Residually Finite Groups

preprint2022arXivOpen access

We study a family of finitely generated residually finite groups. These groups are doubles $F_2*_H F_2$ of a rank- $2$ free group $F_2$ along an infinitely generated subgroup $H$ . Varying $H$ yields uncountably many groups up to isomorphism.

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An Uncountable Family of Finitely Generated Residually Finite Groups

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