Simple groups with strong fixed-point properties
Group Theory
2025-09-25 v3 Algebraic Topology
Geometric Topology
Abstract
We exhibit finitely generated torsion-free groups for which any action on any finite-dimensional CW-complex with finite Betti numbers has a global fixed point.
Cite
@article{arxiv.2505.15761,
title = {Simple groups with strong fixed-point properties},
author = {Nansen Petrosyan},
journal= {arXiv preprint arXiv:2505.15761},
year = {2025}
}
Comments
8 pages, 1 figure. Minor revisions, final version, to appear in BLMS