Fixed-class extensible automorphism
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 |
Definition with symbols
Let be a nilpotent group and let be the nilpotence class of . An automorphism of is said to be fixed-class extensible if, for any embedding in a group of nilpotence class , there exists an automorphism of such that the restriction of to is .