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Uses Fact about
Class-preserving not implies inner Class-preserving automorphism
Inner automorphism
Every injective endomorphism arises as the restriction of an inner automorphism Injective endomorphism
Inner automorphism
Extensible equals inner Inner implies extensible
Every group is a malnormal subgroup of a complete group		 Inner automorphism
Finite solvable-extensible implies inner Every finite group is the Fitting quotient of a p-dominated group for any prime p not dividing its order
Prime power order implies nilpotent
Nilpotent implies solvable
Solvability is extension-closed		 Finite solvable-extensible automorphism
Inner automorphism
Finite-extensible implies inner Every finite group is the Fitting quotient of a p-dominated group for any prime p not dividing its order Finite-extensible automorphism
Inner automorphism
Finite-quotient-pullbackable implies inner Every finite group is the Fitting quotient of a p-dominated group for any prime p not dividing its order Finite-quotient-pullbackable automorphism
Inner automorphism
Hall-semidirectly extensible implies inner Every finite group is the Fitting quotient of a p-dominated group for any prime p not dividing its order Hall-semidirectly extensible automorphism
Inner automorphism
Inner automorphisms are I-automorphisms in the variety of groups Variety of groups
I-automorphism
Inner automorphism
Inner implies IA Inner automorphism
IA-automorphism
Inner implies class-preserving Inner automorphism
Class-preserving automorphism
Inner implies extensible Inner automorphism
Extensible automorphism
Inner implies infinity-extensible Inner is extensibility-stable Inner automorphism
Infinity-extensible automorphism
Normal-extensible not implies inner Centerless and maximal in automorphism group implies every automorphism is normal-extensible Normal-extensible automorphism
Inner automorphism
P-extensible implies inner Inner automorphism
Pushforwardable equals inner Extensible equals inner Inner automorphism
Quotient-pullbackable equals inner Inner automorphism
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