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The Conjugacy Ratio of Groups
Published online by Cambridge University Press: 22 February 2019
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.
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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 3 , August 2019 , pp. 895 - 911
- Copyright
- Copyright © Edinburgh Mathematical Society 2019
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