6533b82afe1ef96bd128b6da
RESEARCH PRODUCT
p-Parts of character degrees and the index of the Fitting subgroup
Mark L. LewisThomas R. WolfGabriel Navarrosubject
CombinatoricsAlgebra and Number TheoryCharacter (mathematics)Index (economics)Solvable groupIndex of a subgroupFitting subgroupMathematicsdescription
Abstract In a solvable group G, if p 2 does not divide χ ( 1 ) for all χ ∈ Irr ( G ) , then we prove that | G : F ( G ) | p ≤ p 2 . This bound is best possible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-08-01 | Journal of Algebra |