CS-pushforwardable automorphism

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This article defines an automorphism property, viz a property of group automorphisms. Hence, it also defines a function property (property of functions from a group to itself)
View other automorphism properties OR View other function properties
This is a variation of pushforwardable automorphism|Find other variations of pushforwardable automorphism |
This is a variation of extensible automorphism|Find other variations of extensible automorphism |
This term is related to: Extensible automorphisms problem
View other terms related to Extensible automorphisms problem | View facts related to Extensible automorphisms problem


BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]

Definition

Definition with symbols

Let G be a group and \sigma an automorphism of G. \sigma is said to be CS-pushforwardable if for any homomophism \rho:G \to Aut(N) where N is a characteristically simple group, there exists an inner automorphism \phi of </math>Aut(N)</math> such that \phi \circ \rho = \rho \circ \sigma.

Relation with other properties

Stronger properties

Weaker properties