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Bases for induced characters

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Gabriel Navarro
Gabriel Navarro
Affiliation:
Departament d'Algebra Facultat de Mathematiques Universitat de Valencia 46100 Burjassot, Valencia Spain e-mail: gabriel@uv.es
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Abstract

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If G is a finite solvable group, we show that Isaacs' theory on partial characters on Hall π-subgroups can be developed for the nilpotent injectors of G. Therefore, the irreducible characters of G are partitioned into blocks associated to some nilpotent subgroups of G.

MSC classification

Secondary: 20C15: Ordinary representations and characters
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 3 , December 1996 , pp. 369 - 376
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Isaacs, I. M., Character theory of finite groups (Dover, New York, 1994).Google Scholar
[2]Isaacs, I. M., ‘Fong characters in π-separable groups’, J. Algebra 99 (1986), 89–107.CrossRefGoogle Scholar
[3]Mann, A., ‘Injectors and normal subgroups of finite groups’, Israel J. Math. 9 (1971), 554–558.CrossRefGoogle Scholar