The structure of the unit group of the group algebra F(C₃ × D₁₀)

Abstract

Letbe the dihedral group of order . The structure of the unit group ( ( 3 × 10)) of the group algebra ( 3 × 10) over a finite field of characteristic 3 is given in [10]. In this article, the structure of ( ( 3 × 10)) is obtained over any finite field of characteristic ̸ = 3.