Finite Groups with Odd Sylow Normalizers

Abstract

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.

arXiv comment12 pages

References in corpus (1)

• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups