Unit groups of finite group algebras of Abelian groups of order 17 to 20

Abstract

Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |G|\leq 20 $.

Keywords

• unit group
• group algebra
• abelian group
• finite field