Ashja’, Ali; Iranmanesh, Ali The structure of unit group of \(\mathbb{F}_{2^n} D_{14}\). (English) Zbl 1484.16028 J. Math. Ext. 14, No. 4, 113-122 (2020). Summary: Let \(RG\) be the gruop ring of the group \(G\) over ring \(R\) and \(\mathcal{U}(RG)\) be its unit group. In this paper, The structure of the unit group of a group ring \(\mathbb{F}_{2^n}D_{14}\) of the group \(D_{14}\) over a field of characteristic 2 is determined. MSC: 16S34 Group rings 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 16U60 Units, groups of units (associative rings and algebras) Keywords:group; ring; unit PDFBibTeX XMLCite \textit{A. Ashja'} and \textit{A. Iranmanesh}, J. Math. Ext. 14, No. 4, 113--122 (2020; Zbl 1484.16028) Full Text: Link