6533b82bfe1ef96bd128e05a
RESEARCH PRODUCT
Large orbits ofp-groups on characters and applications to character degrees
Alexander Moretósubject
AlgebraPure mathematicsBrauer's theorem on induced charactersCharacter (mathematics)General MathematicsAlgebra over a fieldOrbit (control theory)Mathematics::Representation TheoryMathematicsdescription
We prove that if ap-groupA acts on a solvablep′-groupG then there is a “large” orbit on the ordinary complex irreducible characters ofG. As a consequence of this theorem we obtain results that relate ordinary and Brauer character degrees.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-12-01 | Israel Journal of Mathematics |