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Correspondences between constituents of projective characters
Authors:Pablo Centella  Gabriel Navarro
Institution:(1) Departament d’àlgebra, Facultat de Matemàtiques, Universitat de València, Burjassot, València, 46100, Spain
Abstract:Let G be a finite p-solvable group. Let P ∈ Syl p (G) and N = N G (P). We prove that there exists a natural bijection between the irreducible constituents of p′-degree of the principal projective character $${\Phi}_{1_G}$$ of G and those of $${\Phi}_{1_N}$$. Received: 2 May 2007, Revised: 17 September 2007
Keywords:20C15  20C20
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