# simple group

A non-trivial group $G$ is said to be simple if the only normal subgroups of $G$ are $\{1\}$ and $G$ itself.

Equivalently, a simple group is a group in which the trivial subgroup is a maximal normal subgroup.

Title simple group SimpleGroup 2013-03-22 12:23:35 2013-03-22 12:23:35 yark (2760) yark (2760) 9 yark (2760) Definition msc 20E32 Group NormalSubgroup simple