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Communications in Algebra Volume 32, 2004 - Issue 9
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Original Articles

Degree Graphs of Simple Groups of Exceptional Lie Type

Donald L. White Department of Mathematical Sciences, Kent State University, Kent, Ohio, USA; Department of Mathematical Sciences, Kent State University, Mathematical Sciences Building, Summit Road, Kent, OH, 44242, USACorrespondence[email protected]
Pages 3641-3649 | Received 01 Mar 2003, Accepted 01 Oct 2003, Published online: 01 Feb 2007
 
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Abstract

Let G be a finite group and let cd(G) be the set of irreducible character degrees of G. The degree graph Δ(G) of G is the graph whose set of vertices is the set of primes that divide degrees in cd(G), with an edge between p and q if pq divides a for some degree a ∈ cd(G). In this paper, we determine the graph Δ(G) when G is a finite simple group of exceptional Lie type.

Mathematics Subject Classification:

Acknowledgments

Notes

#Communicated by A. Turull.

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