Random groups have fixed points on CAT(0) cube complexes
Metric Geometry
2010-12-21 v1 Group Theory
Abstract
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
Cite
@article{arxiv.1012.4147,
title = {Random groups have fixed points on CAT(0) cube complexes},
author = {Koji Fujiwara and Tetsu Toyoda},
journal= {arXiv preprint arXiv:1012.4147},
year = {2010}
}