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Partial characters with respect to a normal subgroup

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Gabriel Navarro  and
Lucia Sanus
Gabriel Navarro
Affiliation:
Department d'Algebra, Facultat de Matemátiques, Universitat de Valencia, 46100 Burjassot, Valencia, Spain e-mail: gabriel@uv.es, lucia.sanus@uv.es
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Abstract

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Suppose that G is a π-separable group. Let N be a normal π1-subgroup of G and let H be a Hall π-subgroup of G. In this paper, we prove that there is a canonical basis of the complex space of the class functions of G which vanish of G-conjugates ofHN. When N = 1 and π is the complement of a prime p, these bases are the projective indecomposable characters and set of irreduciblt Brauer charcters of G.

Keywords

π-partial charactersBrauer charactersprojective indecomposable charactersπ-separable groups

MSC classification

Secondary: 20C15: Ordinary representations and characters
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 1 , February 1999 , pp. 104 - 124
Copyright
Copyright © Australian Mathematical Society 1999

References

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