Let $\mathcal{FG}$ be the group algebra of the group $\mathcal{G}$ over the field $\mathcal{F}$ having characteristic $p>0$ and $q=p^{n}$ elements and $\mathscr{U}\mathcal{(FG)}$ be the unit group of $\mathcal{FG}$. In this paper, we are proceeding to determine the structure of unit group of group algebra of all four non isomorphic abelian groups and one non abelian group $C_{3}\times A_{4}$ of order $36$, for any prime $p>0$.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.