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arXiv · 2212.08207

Property FA is not a profinite property

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

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Tamunonye Cheetham-West, Alexander Lubotzky, Alan W. Reid, Ryan Spitler. 2022-12-16. Property FA is not a profinite property. https://arxiv.org/abs/2212.08207

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