Search results for "Sylow normalizer"

showing 2 items of 2 documents

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
researchProduct

ON SYLOW NORMALIZERS OF FINITE GROUPS

2013

[EN] The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent Hall subgroups for given sets of primes are exactly the subgroup- closed saturated formations satisfying the following property: a group belongs to the class if and only if its Sylow normalizers do so. The paper analyzes the extension of this research to the universe of all finite groups.

p-groupComplement (group theory)Finite groupAlgebra and Number TheorySaturated formationApplied MathematicsSylow theoremsNilpotent Hall subgroupAlgebraMathematics::Group TheorySylow normalizerIUMPALocally finite groupFinite groupAlgebra over a fieldScientific publishingMATEMATICA APLICADAMathematicsJournal of Algebra and Its Applications
researchProduct