holomorph of a group

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

Title	holomorph of a group
Canonical name	HolomorphOfAGroup
Date of creation	2013-03-22 17:22:50
Last modified on	2013-03-22 17:22:50
Owner	rm50 (10146)
Last modified by	rm50 (10146)
Numerical id	4
Author	rm50 (10146)
Entry type	Definition
Classification	msc 20E22
Synonym	holomorph