BOUNDING CONJUGACY DEPTH FUNCTIONS FOR WREATH PRODUCTS OF FINITELY GENERATED ABELIAN GROUPS

Title: BOUNDING CONJUGACY DEPTH FUNCTIONS FOR WREATH PRODUCTS OF FINITELY GENERATED ABELIAN GROUPS
Creator: Ferov, Michal; Pengitore, Mark
Relation: ARC.FL170100032 http://purl.org/au-research/grants/arc/FL170100032
Relation: Journal of Groups, Complexity, Cryptology Vol. 15, Issue 1, p. 2:1-2:33
Publisher Link: http://dx.doi.org/10.46298/jgcc.2023.15.1.11728
Publisher: Episciences.org
Resource Type: journal article
Date: 2023
Description: In this article, we study the asymptotic behaviour of conjugacy separability for wreath products of abelian groups. We fully characterise the asymptotic class in the case of lamplighter groups and give exponential upper and lower bounds for generalised lamplighter groups. In the case where the base group is infinite, we give superexponential lower and upper bounds. We apply our results to obtain lower bounds for conjugacy depth functions of various wreath products of groups where the acting group is not abelian.
Subject: asymptotic behaviour; abelian groups; conjugacy depth functions; wreath products
Identifier: http://hdl.handle.net/1959.13/1495331
Identifier: uon:53984
Identifier: ISSN:1869-6104
Language: eng
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