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 $.
Citation: Yunpeng Bai, Yuanlin Li, Jiangtao Peng. Unit groups of finite group algebras of Abelian groups of order 17 to 20[J]. AIMS Mathematics, 2021, 6(7): 7305-7317. doi: 10.3934/math.2021428
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 $.
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Yunpeng Bai, Yuanlin Li, Jiangtao Peng. Unit groups of finite group algebras of Abelian groups of order 17 to 20[J]. AIMS Mathematics, 2021, 6(7): 7305-7317. doi: 10.3934/math.2021428
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