Unit groups of group algebras of some small groups
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- 作者：Gaohua Tang (1)
Yangjiang Wei (1)
Yuanlin Li (2) - 关键词：group ring ; unit group ; augmentation ideal ; Jacobson radical ; 16S34 ; 16U60 ; 20C05
- 刊名：Czechoslovak Mathematical Journal
- 出版年：2014
- 出版时间：March 2014
- 年：2014
- 卷：64
- 期：1
- 页码：149-157
- 全文大小：151 KB
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Yangjiang Wei (1)
Yuanlin Li (2)
1. School of Mathematical Science, Guangxi Teachers Education University, Nanning, Guangxi, 530001, P.R.China
2. Department of Mathematics, Brock University, St.Catharines, Ontario, Canada, L2S 3A1 - ISSN：1572-9141
文摘
Let FG be a group algebra of a group G over a field F and U (FG) the unit group of FG. It is a classical question to determine the structure of the unit group of the group algebra of a finite group over a finite field. In this article, the structure of the unit group of the group algebra of the non-abelian group G with order 21 over any finite field of characteristic 3 is established. We also characterize the structure of the unit group of FA 4 over any finite field of characteristic 3 and the structure of the unit group of FQ 12 over any finite field of characteristic 2, where Q 12 = ?em class="a-plus-plus">x, y; x 6 = 1, y 2 = x 3, x y = x ??