- 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
- Reviewed
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