Modular group algebras whose group of unitary units is locally nilpotent

被引：1

作者：

Bovdi, V ^{[1
]}

机构：

[1] UAE Univ, Dept Math Sci, Al Ain, U Arab Emirates

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 3-4期

关键词：

unitary group; group algebra; locally nilpotent group; Engel group; GROUP-RINGS; SUBGROUPS;

D O I：

10.1007/s44146-022-00037-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize those modular group algebras FG whose group of unitary units is locally nilpotent or nilpotent under the classical involution of FG. The main results of [19, 20] are trivial consequences of this note.

引用

页码：571 / 576

页数：6

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