Groupprops, The Group Properties Wiki (pre-alpha)

Normalizer subgroup

From Groupprops

Jump to: navigation, search
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof.
View a complete list of subgroup properties|Get subgroup property lookup help |Get exploration suggestions[SHOW MORE]


Contents

This article is about a standard (though not very rudimentary) definition in group theory.[SHOW MORE]

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

Personal tools
Namespaces
Variants
Actions
Navigation
lookup
Credits
Toolbox
request/feedback
subject wikis