Property FA is not a profinite property
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.
Authors
- Alexander Lubotzky (ORCID: https://orcid.org/0000-0001-7281-1142)
- Alan W. Reid (ORCID: https://orcid.org/0000-0003-0367-9453)
- Tamunonye Cheetham‐West (ORCID: https://orcid.org/0000-0002-5838-8074)
- Ryan Spitler (ORCID: https://orcid.org/0000-0002-7240-2741)
Institutions
- Yale University (US)
- Weizmann Institute of Science (IL)
- Rice University (US)
Publication Details
- Journal
- Groups Geometry and Dynamics
- Published
- 2024-10-14
- DOI
- https://doi.org/10.4171/ggd/802
- Citations
- 4
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.05
Funders
- Rice University
- European Commission