CENTRAL UNITS IN METACYCLIC INTEGRAL GROUP RINGS

被引：9

作者：

Ferraz, Raul Antonio ^{[2
]}

Jacobo Simon-Pinero, Juan ^{[1
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

[2] Univ Sao Paulo, Inst Math & Stat, Sao Paulo, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2008年 / 36卷 / 10期

基金：

巴西圣保罗研究基金会;

关键词：

Central units; Finite groups; Group rings; Metacyclic groups;

D O I：

10.1080/00927870802158028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we give a method to compute the rank of the subgroup of central units of ZG, for a finite metacyclic group, G, by means of Q-classes and R-classes. Then we construct a multiplicatively independent set u subset of Z(U(ZC(p,q))) and by applying our results, we prove that u generates a subgroup of finite index.

引用

页码：3708 / 3722

页数：15

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