Number of normal subgroups

This article defines an arithmetic function on groups
View other such arithmetic functions

Definition

Let $G$ be a group. The number of normal subgroups of $G$ is the number of normal subgroups that $G$ has.

Related properties

A non-trivial group is said to be simple if it has precisely 2 normal subgroups, itself and the trivial group.

See also

• Number of subgroups