Subgroup with abnormal normalizer
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: normal subgroup and abnormal subgroup
View other such compositions|View all subgroup properties
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: For proof of the implication, refer Normalizer of pronormal implies abnormal and for proof of its strictness (i.e. the reverse implication being false) refer Abnormal normalizer not implies pronormal.
- Characteristic subgroup of pronormal subgroup