Direct factor of normal subgroup
From Groupprops
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: direct factor and normal subgroup
View other such compositions|View all subgroup properties
Contents
Definition
A subgroup of a group is termed a direct factor of normal subgroup if it satisfies the following equivalent conditions:
- It can be expressed as a direct factor of a normal subgroup of the whole group.
- It is a direct factor inside its normal closure.
