Conjugacy Growth of Finitely Generated Groups

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• Alex Evetts (Heriot-Watt)
• Friday 15 March 2019, 13:45-14:45
• CMS, MR13.

If you have a question about this talk, please contact Richard Webb.

The conjugacy growth function of a finitely generated group counts the conjugacy classes that one can spell with n generators (just as the standard growth function counts group elements). Like standard growth, the asymptotic behaviour of this function is independent of the choice of finite generating set (although it is not a QI invariant). I will give an overview of what is known about this function, and its associated formal power series, and discuss various approaches for their study. In particular, I will outline how Benson’s ‘patterns’ for a virtually abelian group can be used to study the conjugacy growth series, and talk about the situation in some nilpotent groups.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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