Group rings with metabelian unit groups

被引：1

作者：

Juhasz, Tibor ^{[1
]}

Spinelli, Ernesto ^{[2
]}

机构：

[1] Eszterhazy Karoly Catholic Univ, Inst Math & Informat, Lednyka U 4, H-3300 Eger, Hungary

[2] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 06期

关键词：

Group rings; Unit group; Derived length; GROUP-ALGEBRAS;

D O I：

10.1016/j.jpaa.2021.106946

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be a field of odd characteristic and G a group. In 1991 Shalev established necessary and sufficient conditions so that the unit group of the group ring FG is metabelian when G is finite. Here, in the modular case, we do the same without restrictions on G. In particular, new cases emerge when G contains elements of infinite order. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

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