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math.GR2023
On group rings of virtually abelian groups
Joan Claramunt, Lukasz Grabowski
Let be a finitely generated torsion-free group. We show that the statement of being virtually abelian is equivalent to the statement that the -regular closure of the gro…
math.GR2020
L^2-Betti numbers arising from the lamplighter group
Pere Ara, Joan Claramunt
We apply a construction developed in a previous paper by the authors in order to obtain a formula which enables us to compute -Betti numbers coming from a family of group a…