Permutable 2-subnormal subgroup

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: permutable subgroup and 2-subnormal subgroup
View other subgroup property conjunctions | view all subgroup properties

Definition

A subgroup of a group is termed a permutable 2-subnormal subgroup if it is both a permutable subgroup and a 2-subnormal subgroup.

Relation with other properties

Stronger properties

• Normal subgroup
• Subgroup contained in the Baer norm

Weaker properties

• Permutable subnormal subgroup
• Permutable subgroup
• 2-subnormal subgroup
• Subnormal subgroup
• Conjugate-permutable subgroup