Unit groups of group algebras of some small groups

作者：Tang, Gaohua; Wei, Yangjiang; Li, Yuanlin^*

来源：Czechoslovak Mathematical Journal, 2014, 64(1): 149-157.

DOI：10.1007/s10587-014-0090-0

• group ring
• unit group
• augmentation ideal
• Jacobson radical

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 a

• 出版日期2014-3
• 单位南宁师范大学