# characteristically simple group

A group $G$ is called characteristically simple if its only characteristic subgroups are $\{1\}$ and $G$. Any finite characteristically simple group is the direct product of several copies of isomorphic simple groups.

Title characteristically simple group CharacteristicallySimpleGroup 2013-03-22 13:16:58 2013-03-22 13:16:58 mathcam (2727) mathcam (2727) 7 mathcam (2727) Definition msc 20D25 characteristically simple