6533b7dcfe1ef96bd1272147
RESEARCH PRODUCT
Characterizing normal Sylow p-subgroups by character degrees
Gunter MalleGabriel Navarrosubject
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 mathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-11-01 | Journal of Algebra |