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arXiv · 2207.00410

An Uncountable Family of Finitely Generated Residually Finite Groups

Hip Kuen Chong·Daniel T. Wise
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Abstract

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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BibTeXRIS

Hip Kuen Chong, Daniel T. Wise. 2022-07-01. An Uncountable Family of Finitely Generated Residually Finite Groups. https://doi.org/10.1515/jgth-2021-0094

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