6533b82dfe1ef96bd1291b87

RESEARCH PRODUCT

Correspondences Between 2-Brauer Characters of Solvable Groups

Pablo Centella

subject

CombinatoricsDiscrete mathematicsAlgebra and Number TheoryBrauer's theorem on induced charactersSolvable groupExistential quantificationBijectionPrime (order theory)Mathematics

description

Let G be a finite solvable group and let p be a prime. Let P ∈ Syl p (G) and N = N G (P). We prove that there exists a natural bijection between the 2-Brauer irreducible characters of p′-degree of G and those of N G (P).

https://doi.org/10.1080/00927870903527543