The structure of the unit group of the group algebra $F(C_3 \times D_{10})$

Meena Sahai; Sheere Farhat Ansari

The structure of the unit group of the group algebra $F(C_3 \times D_{10})$

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arxiv 2106.02265 v1 pith:XOT7L7EI submitted 2021-06-04 math.RA

Meena Sahai , Sheere Farhat Ansari This is my paper · ORCID

classification math.RA

keywords grouptimesstructurealgebracharacteristicfieldfiniteunit

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abstract

Let $D_{n}$ be the dihedral group of order $n$. The structure of the unit group $U(F(C_3 \times D_{10}))$ of the group algebra $F(C_3 \times D_{10})$ over a finite field $F$ of characteristic $3$ is given in \cite{sh13}. In this article, the structure of $U(F(C_3 \times D_{10}))$ is obtained over any finite field $F$ of characteristic $p \neq 3$.

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