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An Uncountable Family of Finitely Generated Residually Finite Groups

Group Theory 2022-07-11 v2 Geometric Topology

Abstract

We study a family of finitely generated residually finite groups. These groups are doubles F2HF2F_2*_H F_2 of a rank-22 free group F2F_2 along an infinitely generated subgroup HH. Varying HH yields uncountably many groups up to isomorphism.

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Cite

@article{arxiv.2207.00410,
  title  = {An Uncountable Family of Finitely Generated Residually Finite Groups},
  author = {Hip Kuen Chong and Daniel T. Wise},
  journal= {arXiv preprint arXiv:2207.00410},
  year   = {2022}
}

Comments

10 pages, 2 figures