Conjugacy class numbers and $\pi$-subgroups

Abstract: 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.

group theory

Audience: researchers in the topic

GOThIC - Ischia Online Group Theory Conference

Series comments: Please send a message to andrea.caranti@unitn.it to receive a link to the Zoom room where the conference (a series of talks, actually) takes place.