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Property FA is not a profinite property

  • Tamunonye Cheetham-West

    Yale University, New Haven, USA

  • Alexander Lubotzky

    Weizmann Institute of Science, Rehovot, Israel

  • Alan W. Reid

    Rice University, Houston, USA

  • Ryan Spitler

    Rice University, Houston, USA
Property FA is not a profinite property cover

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Abstract

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

Cite this article

Tamunonye Cheetham-West, Alexander Lubotzky, Alan W. Reid, Ryan Spitler, Property FA is not a profinite property. Groups Geom. Dyn. (2024), published online first

DOI 10.4171/GGD/802