The hypercentre and the n-centre of the unit group of an integral group ring

被引：14

作者：

Li, YL ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1998年 / 50卷 / 02期

关键词：

D O I：

10.4153/CJM-1998-021-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first show that the central height of the unit group of the integral group ring of a periodic group is at most 2. We then give a complete characterization of the n-centre of that unit group. The n-centre of the unit group is either the centre or the second centre (for n greater than or equal to 2).

引用

页码：401 / 411

页数：11

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