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arxiv: 1605.06915 · v2 · pith:2TPAFDK4new · submitted 2016-05-23 · 🧮 math.GR

Group cubization (with an appendix by Mikael Pichot)

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keywords groupcubizationactsappendixapplicationburnsidecomplexcubical
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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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