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Relative profinite rigidity of Baumslag-Solitar groups

Group Theory 2024-12-05 v3

Abstract

We prove that each residually finite Baumslag-Solitar group can be distinguished by its finite quotients from all other residually finite Baumslag-Solitar groups.

Keywords

Cite

@article{arxiv.2401.15200,
  title  = {Relative profinite rigidity of Baumslag-Solitar groups},
  author = {Daxun Wang},
  journal= {arXiv preprint arXiv:2401.15200},
  year   = {2024}
}

Comments

incorporated changes suggested by referee, to appear in Tokyo Journal of Mathematics