On the objects of the category of groups we define the mapping $G\mapsto Hol(G)$, the holomorph $G\rtimes Aut(G)$ of $G$. Can we extend this mapping to a functor on this category?(Via extention to morphisms)
Can $G\mapsto Hol(G)$ be counted as a functor on the category of groups?
Ali Taghavi
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