Unit groups of semisimple group algebras of groups up to order 180

被引：1

作者：

Abhilash, N. ^{[1
]}

Nandakumar, E. ^{[1
]}

Mittal, G. ^{[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, Delhi 110054, India

[3] Indian Inst Technol, Dept Math, Delhi 110016, India

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2024年 / 27卷 / 06期

关键词：

Non-metabelian groups; Finite field; Group algebra; Unit group; WEDDERBURN DECOMPOSITION;

D O I：

10.47974/JIM-1858

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the structure of the unit groups of the semisimple group algebras of 10 non-metabelian group having orders 150, 160, 168 and 180, respectively. In particular, we consider the only one non-metabelian group of orders 150 and 180, two nonmetabelian group of order 160 and six non-metabelian group of order 168 and study the unit groups of their corresponding semisimple group algebra. With this paper, the study of the unit groups of semisimple group algebra of all the groups up to order 180 is completed.

引用

页码：1383 / 1404

页数：22

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