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)
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This is a variation of extensible automorphism|Find other variations of extensible automorphism |
This term is related to: Extensible automorphisms problem
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Definition with symbols
Let be a group and an automorphism of . We say that is CS-extensible if for any embedding where is a characteristically simple group, there is an inner automorphism of such that the restriction of to is .