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Normalizer subgroup
From Groupprops
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof.
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RANDOM TIP:The testing section provides information on practical testing for the subgroup property, including implementation in GAP, when possible.
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This article is about a standard (though not very rudimentary) definition in group theory. The article text may, however, contain more than just the basic definition
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Definition
Symbol-free definition
A subgroup of a group is termed a normalizer subgroup if it occurs as the normalizer of some subset (or equivalently, of some subgroup).
Definition with symbols
A subgroup K of a group G is termed a normalizer subgroup if there is a subgroup H of G such that K = NG(H).
Relation with other properties
Stronger properties
