Extensions of characters from Hall π-subgroups of π-separable groups

Author:

Isaacs I. M.

Abstract

The main result of this paper is the followingTheorem A. Let G be a π-separable finite group with Hall πsubgroup H. Suppose θεIrr(H). Then there exists a unique subgroup M, maximal with the property that it contains H and θ can be extended to a character of M.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Tensor induction of generalized characters and permutation characters;Gluck;Illinois J. of Math,1983

2. Characters of Π-separable groups

3. A characteristic class of characters of finite π-separable groups

4. 5. Isaacs I. M. , Induction and restriction of π-special characters, Canad. J. of Math. (To appear).

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