6533b832fe1ef96bd129a2df

RESEARCH PRODUCT

Finite Groups with Odd Sylow Normalizers

Gabriel NavarroRobert M. GuralnickPham Huu Tiep

subject

Pure mathematicsApplied MathematicsGeneral Mathematics010102 general mathematicsSylow theoremsFoundation (engineering)Group Theory (math.GR)20D06 20D2001 natural sciencesMathematics::Group Theory0103 physical sciencesFOS: Mathematics010307 mathematical physicsRepresentation Theory (math.RT)0101 mathematicsMathematics::Representation TheoryMathematics - Group TheoryMathematics - Representation TheoryMathematics

description

We determine the non-abelian composition factors of the finite groups with Sylow normalizers of odd order. As a consequence, among others, we prove the McKay conjecture and the Alperin weight conjecture for these groups.

yearjournalcountryeditionlanguage
2016-02-15
http://arxiv.org/abs/1602.04797