6533b7cffe1ef96bd12585b5

RESEARCH PRODUCT

The minimal number of characters over a normal p-subgroup

I. M. IsaacsGabriel Navarro

subject

CombinatoricsFinite groupAlgebra and Number TheoryCharacter (mathematics)Brauer's theorem on induced charactersConjugacy classCharacter tableCharactersCounting charactersFinite groupsNormal p-subgroupsMathematics

description

Abstract If N is a normal p-subgroup of a finite group G and θ ∈ Irr ( N ) is a G-invariant irreducible character of N, then the number | Irr ( G | θ ) | of irreducible characters of G over θ is always greater than or equal to the number k p ′ ( G / N ) of conjugacy classes of G / N consisting of p ′ -elements. In this paper, we investigate when there is equality.

yearjournalcountryeditionlanguage
2007-06-01Journal of Algebra
https://doi.org/10.1016/j.jalgebra.2007.01.023