Finite Groups with Odd Sylow Normalizers

2016/02/15 by Robert M. Guralnick, Gabriel Navarro, Guralnick, Robert M. +3
Mathematics · #20D06 #20D20 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20D06 #msc:20D20

paper · pdf · doi:10.48550/arxiv.1602.04797

12 pages

arxiv created 2016/02/24 · arxiv updated 2016/02/25

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.

Related

• Finite groups with odd Sylow automizers
• On the structure of groups, possessing Carter subgroups of odd order
• New refinements of the McKay conjecture for arbitrary finite groups
• On the odd order composition factors of finite linear groups
• On a finite group having a normal series whose factors have bicyclic Sylow subgroups