Bull. Austral. Math. Soc. 72(3) pp.381--384, 2005.
A characteristic subgroup and kernels of
Brauer characters
I.M. Isaacs |
Gabriel Navarro |
The second author is partially supported by the Ministerio de Educación y Ciencia proyecto MTM2004-06067-C02-01.
Abstract
If G is
finite group and P is a Sylow
p-subgroup of G, we prove that there is a unique largest
normal subgroup L of G such that
L 
P = L 
(P). If
G is p-solvable, then L is the intersection of the kernels of the
irreducible Brauer characters of G
of degree not divisible by p.
P = L (P). If
G is p-solvable, then L is the intersection of the kernels of the
irreducible Brauer characters of G
of degree not divisible by p.Click to download PDF of this article (free access until July 2006)
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[an error occurred while processing this directive]| (Metadata: XML, RSS, BibTeX) | MathSciNet: MR2199639 | Z'blatt-MATH: 1096.20013 |
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ISSN 0004-9727