Property FA is not a profinite property

Tamunonye Cheetham-West; Alexander Lubotzky; Alan W. Reid; Ryan Spitler

Property FA is not a profinite property

Group Theory 2022-12-19 v1 Geometric Topology

Authors: Tamunonye Cheetham-West , Alexander Lubotzky , Alan W. Reid , Ryan Spitler

Abstract

We exhibit infinitely many pairs of non-isomorphic finitely presented, residually finite groups $\Delta$ and $\Gamma$ with $\Delta$ having Property FA, $\Gamma$ having a non-trivial action on a tree and $\Delta$ and $\Gamma$ having isomorphic profinite completions.

Keywords

group theory

Cite

@article{arxiv.2212.08207,
  title  = {Property FA is not a profinite property},
  author = {Tamunonye Cheetham-West and Alexander Lubotzky and Alan W. Reid and Ryan Spitler},
  journal= {arXiv preprint arXiv:2212.08207},
  year   = {2022}
}

Comments

5 pages

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