Canadian Mathematical Society
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Abstract view

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

Open Access article
 Printed: Mar 2006
  • Mark L. Lewis
Format:   HTML   LaTeX   MathJax   PDF   PostScript  


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 show english descriptions Ordinary representations and characters 20C15 - Ordinary representations and characters

© Canadian Mathematical Society, 2018 :