Units of the semisimple group algebras FqSL(2, 8) and FqSL(2, 9)

被引：2
作者：
Sivaranjani, N. U. [1 ]
Nandakumar, E. [1 ]
Mittal, Gaurav [2 ]
Sharma, R. K. [3 ]
机构：
[1] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India
[2] Def Res & Dev Org, Near Metcalfe House, New Delhi 110054, India
[3] Indian Inst Technol, Dept Math, New Delhi 110016, India
来源：
ANNALES MATHEMATICAE ET INFORMATICAE | 2023年 / 59卷
关键词：
Unit group; Group algebra; Special linear group; Wedderburn De-composition; GROUP-ALGEBRA;
D O I：
10.33039/ami.2023.12.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we characterize the structure of the unit group of the semisimple group algebras FqSL(2, 8) and FqSL(2, 9) of the special linear groups of 2 x 2 matrices with determinant 1 over the finite fields of order 8 and 9, respectively.
引用
收藏
页码：117 / 130
页数：14
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