A note on locally elliptic actions on cube complexes
Group Theory
2020-10-21 v1
Abstract
We deduce from Sageev's results that whenever a group acts locally elliptically on a finite dimensional CAT(0) cube complex, then it must fix a point. As an application, we give an example of a group G such that G does not have property (T), but G and all its finitely generated subgroups can not act without a fixed point on a finite dimensional CAT(0) cube complex, answering a question by Barnhill and Chatterji.
Cite
@article{arxiv.1810.06927,
title = {A note on locally elliptic actions on cube complexes},
author = {Nils Leder and Olga Varghese},
journal= {arXiv preprint arXiv:1810.06927},
year = {2020}
}
Comments
4 pages