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

被引：0

作者：

Ferov, Michal

Pengitore, Mark

机构：

来源：

GROUPS COMPLEXITY CRYPTOLOGY | 2023年 / 15卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

SURFACE GROUPS; GRAPH PRODUCTS; SEPARABILITY; SUBGROUPS;

D O I：

10.46298/jgcc.2023.15.1.11728

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. 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.

引用

页数：33