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Character Degree Graphs of Solvable Groups of Fitting Height $2$

Published:2006-03-01
Printed: Mar 2006
• Mark L. Lewis
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Abstract

Given a finite group $G$, we attach to the character degrees of $G$ a graph whose vertex set is the set of primes dividing the degrees of irreducible characters of $G$, and with an edge between $p$ and $q$ if $pq$ divides the degree of some irreducible character of $G$. In this paper, we describe which graphs occur when $G$ is a solvable group of Fitting height $2$.
 MSC Classifications: 20C15 - Ordinary representations and characters