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From Groupprops

Normalizer of a subgroup

Defined in	Book:AlperinBell (?, ?, ?)  +, Book:DummitFoote (?, ?, ?)  +, Book:Herstein (?, ?, ?)  +, Book:Lang (?, ?, ?)  +, Book:Artin (?, ?, ?)  +, Book:RobinsonGT (?, ?, ?)  +, Book:RobinsonAA (?, ?, ?)  +, Book:Hungerford (?, ?, ?)  +, Book:Fraleigh (?, ?, ?)  +
Defining ingredient	Normal subgroup +
Modification dateThis property is a special property in this wiki.	2 November 2008 13:10:16  +
Operator related to	Normal subgroup +
Page class	Term  +
Referenced in	Book:AlperinBell (?, ?, ?)  +, Book:DummitFoote (?, ?, ?)  +, Book:Herstein (?, ?, ?)  +, Book:Lang (?, ?, ?)  +, Book:Artin (?, ?, ?)  +, Book:RobinsonGT (?, ?, ?)  +, Book:RobinsonAA (?, ?, ?)  +, Book:Hungerford (?, ?, ?)  +, Book:Fraleigh (?, ?, ?)  +
Categories	Subgroup operators

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Idealizer of a Lie subring +	Analogue of
2-subnormal subgroup +, Automorph-conjugate subgroup +, CDIN-subgroup +, Intermediately normal-to-characteristic subgroup +, Intermediately normal-to-complemented subgroup +, Intermediately subnormal-to-normal subgroup +, MWNSCDIN-subgroup +, Normal core of normalizer +, Normal subgroup of characteristic subgroup +, Normalizer-relatively normal subgroup +, SCDIN-subgroup +, Subgroup whose normalizer equals its normal closure +, Subgroup with self-normalizing normalizer +, WNSCDIN-subgroup +, Weakly characteristic subgroup +, Weakly normal subgroup +	Defining ingredient
Baer norm is hereditarily permutable +, Coprime automorphism-invariant normal subgroup of Hall subgroup is normalizer-relatively normal +, Normalizer of isomorph-conjugate implies isomorph-dominating +, Normalizer of pronormal implies abnormal +, Normalizer of weakly pronormal implies weakly abnormal +, Procharacteristicity is normalizer-closed +	Fact about
Approximate normalizer +	Variation of

 

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