Examples of finitely presented groups with strong fixed point properties and property (T)
Group Theory
2026-02-02 v1
Abstract
We construct a finitely presented group with property (T) which can not act on on reasonable spaces. Such group is constructed using an generalization of Hall embedding theorem, where property (T) is added at the expense of weakening the simplicity requirement.
Cite
@article{arxiv.2601.22907,
title = {Examples of finitely presented groups with strong fixed point properties and property (T)},
author = {Indira Chatterji and Martin Kassabov},
journal= {arXiv preprint arXiv:2601.22907},
year = {2026}
}