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Conjugacy class numbers and pi-subgroups

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GR2W02 - Simple groups, representations and applications

We will discuss relations between the number of conjugacy classes of a finite group and that of proper subgroups. On the way, we’ll encounter the so-called almost abelian groups (a term coined by J. Thompson). We then connect this to obtaining estimates for the number of Brauer characters in a Brauer block of a finite group. This is joint work with Gabriel Navarro and Geoffrey Robinson.

This talk is part of the Isaac Newton Institute Seminar Series series.

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