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Restriction of characters to Sylow normalizers

Published online by Cambridge University Press:  25 July 2002

Gabriel Navarro
Gabriel Navarro
Affiliation:
Departament d'Àlgebra, Facultat de Matemàtiques, Universitat de València, 46100 Burjassot, València, [email protected]
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Abstract

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Suppose that G is a finite p-solvable group and let \chi \in {\rm Irr}(G) be of p^\prime -degree. In this note, we investigate when \chi remains irreducible when restricted to {\bf {N)}_{G}(P).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 2 , May 2001 , pp. 311 - 315
Copyright
2001 Glasgow Mathematical Journal Trust

Footnotes

Research partially supported by DGICYT.