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An uncountable family of finitely generated residually finite groups

Authors
  • Chong, Hip Kuen1
  • Wise, Daniel T.1
  • 1 McGill University, QC H3A 0B9 , (Canada)
Type
Published Article
Journal
Journal of Group Theory
Publisher
De Gruyter
Publication Date
Sep 16, 2021
Volume
25
Issue
2
Pages
207–216
Identifiers
DOI: 10.1515/jgth-2021-0094
Source
De Gruyter
License
Yellow

Abstract

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

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