Proper actions of lamplighter groups associated with free groups

Mathematics – Group Theory

Scientific paper

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6 pages. The part on Hilbert space compression from the first version of this paper, will be incorporated into a more elaborat

Scientific paper

Given a finite group $H$ and a free group $F_n$, we prove that the wreath
product $H\wr F_n$ admits a metrically proper, isometric action on a Hilbert
space.

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