Subgroup with abnormal normalizer

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]

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VIEW FACTS THAT:use, or start with, a subgroup satisfying the property|prove, or show that, a subgroup satisfies the property

Definition

A subgroup with abnormal normalizer is a subgroup in a group whose normalizer is an abnormal subgroup.

Relation with other properties

Stronger properties

• Abnormal subgroup
• Pronormal subgroup

Weaker properties

• Subgroup with weakly abnormal normalizer