Structure of the unitary subgroup of the group algebra 𝔽2n(QD)16

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. 71–72] (Semi-Dihedral [B. Huppert, Endliche Gruppen (Springer, 1967), pp. 90–93]) group of order 16 and [Formula: see text] is any finite field of characteristic 2 with [Formula: see text] elements.

THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS $D_{30}$ AND $C_3 \times D_{10}$ OVER A FINITE FIELD OF CHARACTERISTIC $3$

“…Unitary units of some modular group algebras have been studied in [2,3]. In [16,17], the structure of the unitary subgroup of the group algebra F D 2 n and F (QD 16 ), where QD 16 is the quasi-dihedral group of order 16 and p = 2, has been obtained.…”

Centre of Unitary Subgroup of Modular Group Algebra’s

“…They also described the structure of unitary unit subgroup V * (F 2 m M 16 ) of group algebra F 2 m M 16 . In [9], Raza and Ahmad constructed structure of V * (F 2 k (QD) 16 ) where (QD) 16 is known as quasi dihedral group having order 16. They also described that…”