Lie properties of the group algebra and the nilpotency class of the group of units

被引：37

作者：

Bovdi, AA ^{[1
]}

Kurdics, J

机构：

[1] Lajos Kossuth Univ, Inst Math & Informat, Debrecen, Hungary

[2] Bessenyei Coll, Dept Math, Nyiregyhaza, Hungary

来源：

JOURNAL OF ALGEBRA | 1999年 / 212卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

D O I：

10.1006/jabr.1998.7617

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the upper and lower Lie nilpotency index of a modular group algebra FG of some metabelian group G and apply these results to determine the nilpotency class of the group of units, extending certain results of Shalev without restriction to finite groups. A characterization of modular group algebras FG with group of units of class 3 is given, which was obtained by Rao and Sandling for finite groups G. (C) 1999 Academic Press.

引用

页码：28 / 64

页数：37