# holomorph of a group

If $G$ is a group, the holomorph of $G$ is the group $G\rtimes_{\theta}\operatorname{Aut}(G)$ under the identity map $\theta:\operatorname{Aut}(G)\to\operatorname{Aut}(G)$.

Title holomorph of a group HolomorphOfAGroup 2013-03-22 17:22:50 2013-03-22 17:22:50 rm50 (10146) rm50 (10146) 4 rm50 (10146) Definition msc 20E22 holomorph