Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-10-28T08:13:21.136Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
Lucía Sanus
Affiliation:
Facultat de Matemàtiques, Universitat de València, Burjassot, València 46100, Spain ([email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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