Abstract
In this paper, we established the structure of unitary unit subgroup [Formula: see text] of the group algebra [Formula: see text], where [Formula: see text] is the Quasi-dihedral [D. S. Dummit and R. Foote, Abstract Algebra, 3rd edn. (Wiley, 2004), pp. 71β72] (Semi-Dihedral [B. Huppert, Endliche Gruppen (Springer, 1967), pp. 90β93]) group of order 16 and [Formula: see text] is any finite field of characteristic 2 with [Formula: see text] elements.
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