Bull. Austral. Math. Soc. 72(3) pp.381--384, 2005.

A characteristic subgroup and kernels of
Brauer characters

I.M. Isaacs

Gabriel Navarro

Received: 8th June, 2005

The second author is partially supported by the Ministerio de Educación y Ciencia proyecto MTM2004-06067-C02-01.


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 $ \cap $ P = L $ \cap $ $ \bf N_{G}^{}$(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.

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(Metadata: XML, RSS, BibTeX) MathSciNet: MR2199639 Z'blatt-MATH: 1096.20013


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