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Extensible automorphism

Modification dateThis property is a special property in this wiki.	22 September 2009 13:19:51  +

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Group in which every extensible automorphism is class-preserving +	Defining ingredient
Conjugacy-separable and aperiodic implies every extensible automorphism is class-preserving +, Conjugacy-separable with only finitely many prime divisors of orders of elements implies every extensible automorphism is class-preserving +, Extensible implies normal +, Extensible implies permutation-extensible +, Extensible implies subgroup-conjugating +, Inner implies extensible +, Normal-extensible not implies extensible +	Fact about
Inner implies extensible +	Proves property satisfaction of
Finite-iteratively extensible automorphism +, Infinity-extensible automorphism +	Stronger than
Destroying outer automorphisms +, Interpretation of the extensible automorphisms problem using universal algebra and model theory +	Survey article about
Extensible implies normal +, Extensible implies permutation-extensible +, Extensible implies subgroup-conjugating +	Uses property satisfaction of
CS-extensible automorphism +, CS-pushforwardable automorphism +, Central factor-extensible automorphism +, Characteristic-extensible automorphism +, Characteristic-semidirectly extensible automorphism +, Finitarily extensible automorphism +, Finite-iteratively extensible automorphism +, Fixed-class extensible automorphism +, Hall-extensible automorphism +, Infinity-extensible automorphism +, Linearly extensible automorphism +, Linearly pushforwardable automorphism +, Nilpotent-extensible automorphism +, Normal-extensible automorphism +, Potentially characteristic-semidirectly extensible automorphism +, Prime set-extensible automorphism +, Prime-extensible automorphism +, Semidirectly extensible automorphism +, Solvable-extensible automorphism +	Variation of
Central factor-extensible automorphism +, Normal-extensible automorphism +, Own-variety-extensible automorphism +, Subgroup-conjugating automorphism +	Weaker than

 

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