Character degrees, conjugacy class sizes, and element orders: three primes

Abstract: There are many results that give information on the structure of a finite group in terms of properties that refer to its character degrees/ class sizes/element orders and at most two primes. In this talk we present a first attempt to extend some of these results considering three primes. We concentrate on bounds for the Fitting height of solvable groups. (This is joint work with Alex Moreto.)

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.