Dergiler / International Electronic Journal of Algebra / 2021 / Cilt: 29 Sayı: 29

THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS $D_{30}$ AND $C_3 \times D_{10}$ OVER A FINITE FIELD OF CHARACTERISTIC $3$

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

Sayfa
165–174
DOI
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Abstract

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 $p=3$.

THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS $D_{30}$ AND $C_3 \times D_{10}$ OVER A FINITE FIELD OF CHARACTERISTIC $3$ — AJindex