Hall-extensible automorphism

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This is a variation of extensible automorphism|Find other variations of extensible automorphism |

Definition

Let G be a finite group and \sigma be an automorphism of G. We say that \sigma is a Hall-extensible automorphism of G if, whenever K is a finite group containing G as a Hall subgroup, there exists an automorphism \sigma' of K such that the restriction of \sigma' to G equals \sigma.

Relation with other properties

Stronger properties

Weaker properties