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The structure of unit group of \(\mathbb{F}_{2^n} D_{14}\). (English) Zbl 1484.16028

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
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