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.
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页数：11
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