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Character Degree Graphs of Solvable Groups of Fitting Height 2

Published online by Cambridge University Press:  20 November 2018

Mark L. Lewis
Mark L. Lewis*
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A. e-mail: [email protected]
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Abstract

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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.

Keywords

20C15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 1 , 01 March 2006 , pp. 127 - 133
Copyright
Copyright © Canadian Mathematical Society 2006

References

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