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 $3$
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 $p=3$.
Keywords:
Group ring unit group, dihedral group,
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- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI