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Normal-extensible not implies normal

Fact about	Normal-extensible automorphism +, Normal automorphism +, Normal subgroup +, Normal-extensible automorphism-invariant subgroup +
Modification dateThis property is a special property in this wiki.	30 May 2009 21:18:56  +
Page class	Fact  +
Particular example	Dihedral group:D8 +
Uses	Every automorphism is center-fixing and inner automorphism group is maximal in automorphism group implies every automorphism is normal-extensible +, Automorphism group of direct power of simple non-abelian group equals wreath product of automorphism group and symmetric group +
Categories	Automorphism property non-implications, Subgroup property non-implications

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Normal not implies normal-potentially characteristic +, Normal not implies normal-potentially relatively characteristic +	Uses

 

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