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Weak action representability of $2$-nilpotent groups
In this article, we investigate the representability of actions of the category $\mathsf{Nil}_2(\mathsf{Grp})$ of $2$-nilpotent groups. We first provide an algebraic characterisation of derived actions in $\mathsf{Nil}_2(\mathsf{Grp})$ in terms of the group $\operatorname{Aut}_c(X)$ of central autom
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