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Sylow Normalizers with a Normal Sylow 2-Subgroup

Published online by Cambridge University Press:  12 December 2008

Gabriel Navarro  and
Lucía Sanus
Gabriel Navarro
Affiliation:
Facultat de Matemàtiques, Universitat de València, Burjassot, València 46100, Spain (gabriel@uv.es)
Lucía Sanus
Affiliation:
Facultat de Matemàtiques, Universitat de València, Burjassot, València 46100, Spain (lucia.sanus@uv.es)
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Abstract

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If G is a finite solvable group and p is a prime, then the normalizer of a Sylow p-subgroup has a normal Sylow 2-subgroup if and only if all non-trivial irreducible real 2-Brauer characters of G have degree divisible by p.

Keywords

Brauer charactersSylow normalizersreal characterssolvable groups
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 779 - 783
Copyright
Copyright © Edinburgh Mathematical Society 2008