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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Linear constituents of certain character restrictions

Author(s): I. M. Isaacs; G. R. Robinson
Journal: Proc. Amer. Math. Soc. 126 (1998), 2615-2617.
MSC (1991): Primary 20C15
MathSciNet review: 1451809
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Abstract | References | Similar articles | Additional information

Abstract: Let $G$ be a finite irreducible complex linear group with $p$-power degree, where $p$ is a prime number. Then every $p'$-subgroup of $G$ that is normalized by a Sylow $p$-subgroup must be abelian. This and related results are proved using an elementary character-theoretic argument.


References:

1.
I. M. Isaacs and L. Scott, Blocks and subgroups, J. of Algebra, 20 (1972) 630-636. MR 45:6944


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Additional Information:

I. M. Isaacs
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin~~53706
Email: isaacs@math.wisc.edu

G. R. Robinson
Affiliation: Department of Mathematics, University of Leicester, Leicester LE1 7RH, England
Email: grr1@mcs.le.ac.uk

DOI: 10.1090/S0002-9939-98-04339-1
PII: S 0002-9939(98)04339-1
Received by editor(s): February 14, 1997
Communicated by: Ronald M. Solomon
Copyright of article: Copyright 1998, American Mathematical Society




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