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arXiv:1705.00834 [math.GR]AbstractReferencesReviewsResources

Lamplighter groups, median spaces, and a-T-menability

Anthony Genevois

Published 2017-05-02Version 1

This paper is dedicated to the proof of the following statement: the wreath product of two groups acting metrically properly on median spaces acts metrically properly on some median space we call space of wreaths. As a consequence of this construction, we deduce that being a-T-menable and acting properly on some CAT(0) cube complex are properties stable under wreath products.

Comments: 18 pages. Comments are welcome
Categories: math.GR, math.MG
Subjects: 20F65, 20F67, 43A15
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