Group cubization (with an appendix by Mikael Pichot)
Group Theory
2018-05-23 v2
Abstract
We present a procedure of group cubization: It results in a group whose some features resemble the ones of a given group, and which acts without fixed points on a CAT(0) cubical complex. As a main application we establish lack of Kazhdan's property (T) for Burnside groups.
Cite
@article{arxiv.1605.06915,
title = {Group cubization (with an appendix by Mikael Pichot)},
author = {Damian Osajda},
journal= {arXiv preprint arXiv:1605.06915},
year = {2018}
}
Comments
Appendix by Mikael Pichot added. The exposition modified - more topological approach. To appear in Duke Math. J