A condition that prevents groups from acting fixed point free on cube complexes
Group Theory
2018-05-14 v3 Metric Geometry
Abstract
We describe a group theoretic condition which ensures that any cellular action of a group satisfying this condition on a CAT(0) cube complex has a global fixed point. In particular, we show that this fixed point criterion is satisfied by the automorphism group of a free group of rank n. For the unique subgroup of index two in the automorphism group of a free group, we obtain a similar result.
Keywords
Cite
@article{arxiv.1508.06430,
title = {A condition that prevents groups from acting fixed point free on cube complexes},
author = {Olga Varghese},
journal= {arXiv preprint arXiv:1508.06430},
year = {2018}
}
Comments
6 pages, short version