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arXiv · 2111.14722

Conjugacy depth function for generalised lamplighter groups

Michal Ferov·Mark Pengitore
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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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Michal Ferov, Mark Pengitore. 2021-11-29. Conjugacy depth function for generalised lamplighter groups. https://arxiv.org/abs/2111.14722

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