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arXiv · 1605.06915

Group cubization (with an appendix by Mikael Pichot)

Damian Osajda
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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.

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Damian Osajda. 2016-05-23. Group cubization (with an appendix by Mikael Pichot). https://doi.org/10.1215/00127094-2017-0051

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