Character degree graphs and normal subgroups
Author:
I. M. Isaacs
Journal:
Trans. Amer. Math. Soc. 356 (2004), 11551183
MSC (2000):
Primary 20C15
Published electronically:
October 6, 2003
MathSciNet review:
2021616
Fulltext PDF Free Access
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Abstract: We consider the degrees of those irreducible characters of a group whose kernels do not contain a given normal subgroup . We show that if and is not perfect, then the commondivisor graph on this set of integers has at most two connected components. Also, if is solvable, we obtain bounds on the diameters of the components of this graph and, in the disconnected case, we study the structure of and of .
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Additional Information
I. M. Isaacs
Affiliation:
Department of Mathematics, University of Wisconsin, 480 Lincoln Dr., Madison Wisconsin 53706
Email:
isaacs@math.wisc.edu
DOI:
http://dx.doi.org/10.1090/S0002994703034627
PII:
S 00029947(03)034627
Received by editor(s):
November 6, 2002
Published electronically:
October 6, 2003
Additional Notes:
This research was partially supported by a grant from the U. S. National Security Agency
Article copyright:
© Copyright 2003
American Mathematical Society
