The conjugacy ratio of groups

Charles Cox, Laura Ciobanu, Armando Martino

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

In this paper we introduce and study the conjugacy ratio of a finitely generated group, which is the limit at infinity of the quotient of the conjugacy and standard growth functions. We conjecture that the conjugacy ratio is 0 for all groups except the virtually abelian ones, and confirm this conjecture for certain residually finite groups of subexponential growth, hyperbolic groups, right-angled Artin groups, and the lamplighter group.
Original languageEnglish
Number of pages15
JournalProceedings of the Edinburgh Mathematical Society
Publication statusAccepted/In press - 7 May 2018

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