Random Group Actions on $\mathrm{CAT}(0)$ Square Complexes
Group Theory
2022-10-13 v1
Abstract
We generalize ideas of Jahncke from trees to square complexes. We introduce the notion of progression in square complexes. Using progression, we are able to build on the proof strategy of Dahmani-Guirardel-Przytycki to show any action of a random group with seven or more generators on a square complex has a global fixed point.
Keywords
Cite
@article{arxiv.2210.06378,
title = {Random Group Actions on $\mathrm{CAT}(0)$ Square Complexes},
author = {Zachary Munro},
journal= {arXiv preprint arXiv:2210.06378},
year = {2022}
}
Comments
15 pages