On the Monomial Bπ-Character of a Finite π-Separable Group

Qin Tao Liu; Jin Ke Hai

doi:10.4028/www.scientific.net/AMM.475-476.1071

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 475-476On the Monomial Bπ-Character of a Finite...

On the Monomial Bπ-Character of a Finite π-Separable Group

Abstract:

Let π be a set of primes. Isaacs established the π-theory of characters, which generalizes the theory of Brauer module characters. Based on Isaacss work, we introduce the definition of Mπ-groups, and prove that if G=NwrC_pis an Mπ-group, where C_p is a cyclic group of order p and pπ, then N is an Mπ-group.

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Periodical:

Applied Mechanics and Materials (Volumes 475-476)

Pages:

1071-1074

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.475-476.1071

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Online since:

December 2013

Authors:

Qin Tao Liu, Jin Ke Hai

Keywords:

Bπ-Characters, Mπ-Group, π-Separable Groups

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