Search results for "self-normalizing Sylow subgroup"

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McKay natural correspondences on characters

2014

Let [math] be a finite group, let [math] be an odd prime, and let [math] . If [math] , then there is a canonical correspondence between the irreducible complex characters of [math] of degree not divisible by [math] belonging to the principal block of [math] and the linear characters of [math] . As a consequence, we give a characterization of finite groups that possess a self-normalizing Sylow [math] -subgroup or a [math] -decomposable Sylow normalizer.

Discrete mathematicsFinite groupAlgebra and Number TheoryDegree (graph theory)self-normalizing Sylow subgroup20C15Sylow theoremsBlock (permutation group theory)Characterization (mathematics)Centralizer and normalizerPrime (order theory)$p$-decomposable Sylow normalizerCombinatoricsMathematics::Group TheoryMcKay conjecture20C20MathematicsAlgebra & Number Theory
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