On Frattini arguments in L-groups of finite Morley rank

2009/04/20 by Jeffrey Burdges, Burdges, Jeffrey
Mathematics · #03C60 #20E32 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #math.GR #math.LO #msc:03C60 #msc:20E32

paper · pdf · doi:10.48550/arxiv.0904.3027

arxiv created 2009/04/20 · arxiv updated 2009/12/01

Abstract

We modify the Frecon-Jaligot construction of Carter subgroups to show that a degenerate type group has a Carter subgroup invariant under the Sylow 2-subgroup of a group of automorphisms; thus reducing the need to know that Carter subgroups are conjugate in degenerate type groups.

Related

• Frobenius action on Carter subgroups
• Frattini Argument for Hall subgroups
• Extension of Carter subgroups in π-separable groups
• On the structure of groups, possessing Carter subgroups of odd order
• Finite p-groups of class 2 have noninner automorphisms of order p