Group cubization (with an appendix by Mikael Pichot)

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.

Appendix by Mikael Pichot added. The exposition modified - more topological approach. To appear in Duke Math. J

Cited by in corpus (2)

• A note on locally elliptic actions on cube complexes
• Random triangular Burnside groups