Subgroup contained in the Baer norm

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Definition

A subgroup of a group is termed a subgroup contained in the Baer norm if it satisfies the following equivalent conditions:

  • It is contained in the Baer norm of the whole group.
  • It normalizes every subgroup of the whole group.

Formalisms

In terms of the subgroup-defining function containment operator

This property is obtained by applying the subgroup-defining function containment operator to the property: Baer norm
View other properties obtained by applying the subgroup-defining function containment operator

Relation with other properties

Weaker properties