On the conjugacy problem for Carter subgroups

Publication date: 7 February 2006

Abstract: It is proven in the paper, that Carter subgroups of a finite group are conjugate if Carter subgroups in the group of induced automorphisms for every non-Abelian composition factor are conjugate.

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06)

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