Search results for "Characters of finite groups"

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Characterizing normal Sylow p-subgroups by character degrees

2012

Abstract Suppose that G is a finite group, let p be a prime and let P ∈ Syl p ( G ) . We prove that P is normal in G if and only if all the irreducible constituents of the permutation character ( 1 P ) G have degree not divisible by p.

Finite groupAlgebra and Number TheoryDegree (graph theory)010102 general mathematicsSylow theoremsPrimitive permutation group01 natural sciencesPrime (order theory)Characters of finite groupsCharacter degrees010101 applied mathematicsCombinatoricsPermutationCharacter (mathematics)0101 mathematicsMathematicsJournal of Algebra
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