THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS $D_{30}$ AND $C_3 \times D_{10}$ OVER A FINITE FIELD OF CHARACTERISTIC $3$
Meena Sahai, Sheere Farhat Ansari · International Electronic Journal of Algebra · 2021
Let $F$ be a finite field of characteristic $p$. There are three non-isomorphic non-abelian groups of order $30$. The structure of $U(F(C_5 \times D_6))$ for $p=3$ is given in [J. Gildea and R. Taylor, Int. Electron. J. Algebra, 24 (2018), 62-67]. In this article, we give the structure of $U(FD_{30})$ and $U(F(C_3 \times D_{10}))$ for $p=3$.