Sahai, M.; Ansari, S. F. Unit groups of group algebras of certain dihedral groups. (English) Zbl 1484.16044 Malays. J. Math. Sci. 14, No. 3, 419-436 (2020). Summary: In this article, we give the complete characterization of \(U(FD_4)\), \(U(FD_8)\), \(U(FD_{10})\), \(U(FD_{16})\) and \(U(FD_{20})\), where \(F\) is a finite field of characteristic \(p>0\) and \(D_n\) is the dihedral group of order \(2n\). We also find the structure of \(U(FD_{2^k})\) and \(U(FD_{5.2^k})\), when \(F\) is a finite field of characteristic 2. Cited in 6 Documents MSC: 16U60 Units, groups of units (associative rings and algebras) 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 16S34 Group rings Keywords:dihedral group; group algebra; unit group PDFBibTeX XMLCite \textit{M. Sahai} and \textit{S. F. Ansari}, Malays. J. Math. Sci. 14, No. 3, 419--436 (2020; Zbl 1484.16044) Full Text: Link