# Permutable 2-subnormal subgroup

From Groupprops

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

## Contents

## 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.