On the Jacobson radical and unit groups of group algebras
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In this paper, we study the situation as to when the unit group $U(KG)$ of a group algebra $KG$ equals $K^* G(1+J(KG))$, where $K$ is a field of characteristic $p > 0$ and $G$ is a finite group.
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Sahai, M. “On the Jacobson radical and unit groups of group algebras”. Publicacions Matemàtiques, vol.VOL 42, no. 2, pp. 339-46, https://raco.cat/index.php/PublicacionsMatematiques/article/view/37939.
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