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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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
Definition with symbols
Let be a nilpotent group and an automorphism of . Then we say that is nilpotent-extensible if for any embedding of in a nilpotent group , there is an automorphism of such that the restriction of to is .