Proper actions of lamplighter groups associated with free groups
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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.
6 pages. The part on Hilbert space compression from the first version of this paper, will be incorporated into a more elaborate paper on the subject
6 pages. The part on Hilbert space compression from the first version of this paper, will be incorporated into a more elaborate paper on the subject