Extensible implies subgroup-conjugating
This article gives the statement and possibly, proof, of an implication relation between two automorphism properties. That is, it states that every automorphism satisfying the first automorphism property (i.e., extensible automorphism) must also satisfy the second automorphism property (i.e., subgroup-conjugating automorphism)
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- Extensible implies permutation-extensible
- Equivalence of definitions of subgroup-conjugating automorphism: This essentially shows that the notion of permutation-extensible is equivalent to the notion of subgroup-conjugating.
The proof follows by piecing together facts (1) and (2).