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edited title

edited Oct 28, 2020 at 4:55

Is $G\mapsto Hol(G)$ the object component of any functor on the category of groups?

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)

gr.group-theory ct.category-theory

asked Oct 28, 2020 at 4:05

Ali Taghavi