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RESEARCH PRODUCT
Correspondences of Brauer characters and Sylow subgroup normalizers
Joan Tentsubject
Algebra and Number TheoryDegree (graph theory)Group (mathematics)010102 general mathematicsSylow theorems01 natural sciencesCombinatoricsCharacter (mathematics)0103 physical sciencesBijection010307 mathematical physics0101 mathematicsMathematics::Representation TheoryMathematicsdescription
Abstract Let p > 3 and q ≠ p be primes, let G be a finite q-solvable group and let P ∈ Syl p ( G ) . Then G has a unique irreducible q-Brauer character of p ′ -degree lying over 1 P if and only if N G ( P ) / P is a q-group. One direction of this result follows from a natural McKay bijection of p ′ -degree irreducible q-Brauer characters, which is obtained under suitable conditions.
year | journal | country | edition | language |
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2021-05-01 | Journal of Algebra |