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RESEARCH PRODUCT
Character sums and double cosets
Gabriel NavarroI. M. Isaacssubject
Discrete mathematicsFinite groupAlgebra and Number TheoryDegree (graph theory)Character theorySylow theoremsCommutator subgroupFinite groupsCombinatoricsCharacter (mathematics)IntegerDouble cosetsCosetCharacter theoryMcKay conjectureMathematicsdescription
Abstract If G is a p-solvable finite group, P is a self-normalizing Sylow p-subgroup of G with derived subgroup P ′ , and Ψ is the sum of all the irreducible characters of G of degree not divisible by p, then we prove that the integer Ψ ( P ′ z P ′ ) is divisible by | P | for all z ∈ G . This answers a question of J. Alperin.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-11-01 | Journal of Algebra |