Normal subgroup of complemented normal subgroup

From Groupprops
Jump to: navigation, search
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: normal subgroup and complemented normal subgroup
View other such compositions|View all subgroup properties

Definition

Definition with symbols

A subgroup H of a group G is termed a normal subgroup of complemented normal subgroup if there exists a subgroup K of G containing H such that H is a normal subgroup of K and K is a complemented normal subgroup of G.

Relation with other properties

Stronger properties

Weaker properties