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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:
Let be a finite irreducible complex linear group with -power degree, where is a prime number. Then every -subgroup of that is normalized by a Sylow -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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