Abstract
Let $G$ be a finite group, and $\mathscr{C}$ a $G$-abelian category. We prove that the skew group category $\mathscr{C}(G)$ is an abelian category under the condition that the order $|G|$ is invertible in $\mathscr{C}$. When the order $|G|$ is not invertible in $\mathscr{C}$, an example is given to show that $\mathscr{C}(G)$ is not an abelian category.
Citation
Zhenqiang ZHOU. "A note on skew group categories." Hokkaido Math. J. 46 (2) 189 - 207, June 2017. https://doi.org/10.14492/hokmj/1498788017
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