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Conjugacy depth function for generalised lamplighter groups

Published 29 Nov 2021 in math.GR | (2111.14722v3)

Abstract: In this article, we completely characterize the asymptotic behavior of conjugacy separability for the lamplighter groups. More generally, we give exponential upper and lower bounds for all wreath products of finitely generated abelian groups where the acting group is infinite and base group is finite.

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