Michal Ferov ; Mark Pengitore
-
Bounding conjugacy depth functions for wreath products of finitely
generated abelian groups
gcc:11728 -
journal of Groups, complexity, cryptology,
September 28, 2023,
Volume 15, Issue 1
-
https://doi.org/10.46298/jgcc.2023.15.1.11728Bounding conjugacy depth functions for wreath products of finitely
generated abelian groupsArticle
Authors: Michal Ferov ; Mark Pengitore
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Michal Ferov;Mark Pengitore
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.
Comment: 33 pages. Published in journal of Groups, Complexity, Cryptology.
arXiv admin note: substantial text overlap with arXiv:2111.14722
Volume: Volume 15, Issue 1
Published on: September 28, 2023
Accepted on: September 15, 2023
Submitted on: August 15, 2023
Keywords: Mathematics - Group Theory
Funding:
Source : OpenAIRE Graph- Geometry, Topology, and Dynamics of Spaces of Non-Positive Curvature; Funder: National Science Foundation; Code: 1812028
- Australian Laureate Fellowships - Grant ID: FL170100032; Funder: Australian Research Council (ARC); Code: FL170100032