Finite-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., finite-extensible automorphism) must also satisfy the second automorphism property (i.e., subgroup-conjugating automorphism)
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This is a partial result towards the finite-extensible automorphisms conjecture.