2 problems

Let $\mathcal{K}$ be a crossed module with finite fundamental group $\pi_1(\mathcal{K})$, let $\widetilde{\mathcal{K}}$ denote its associated 2-group, and let $\mathcal{X}$ be a cl…

Let $\mathcal{K}=(H\xrightarrow{\partial}G)$ be a crossed module whose fundamental group $\pi_1(\mathcal{K})$ is finite. Let $\Theta$ be a 2-representation of…