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
收藏
页码：3708 / 3722
页数：15
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