English

Constructing uncountably many groups with the same profinite completion

Group Theory 2021-07-30 v3

Abstract

We present two uncountable families of finitely generated residually finite groups all having the same profinite completion. One consists of soluble groups, the other of branch groups.

Keywords

Cite

@article{arxiv.2107.08877,
  title  = {Constructing uncountably many groups with the same profinite completion},
  author = {Nikolay Nikolov and Dan Segal},
  journal= {arXiv preprint arXiv:2107.08877},
  year   = {2021}
}

Comments

another small error corrected

R2 v1 2026-06-24T04:19:26.808Z