GROUP-RINGS WITH HYPERCENTRAL UNIT GROUPS

被引：2

作者：

RILEY, DM ^{[1
]}

机构：

[1] UNIV ALBERTA,DEPT MATH,EDMONTON T6G 2G1,ALBERTA,CANADA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1991年 / 43卷 / 02期

关键词：

D O I：

10.4153/CJM-1991-025-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let KG be the group ring of a group G over a field K and let U(KG) be its group of units. If K has characteristic p > 0 and G contains p-elements, then it is proved that U(KG) is hypercentral if and only if G is nilpotent and G' is a finite p-group.

引用

页码：425 / 434

页数：10

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