ALTERNATING UNITS AS FREE FACTORS IN THE GROUP OF UNITS OF INTEGRAL GROUP RINGS

被引：3

作者：

Goncalves, Jairo Z. ^{[1
]}

Veloso, Paula M. ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, BR-05508090 Sao Paulo, Brazil

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2011年 / 54卷

基金：

巴西圣保罗研究基金会;

关键词：

integral group rings; free groups; units; BICYCLIC UNITS; FREE SUBGROUPS;

D O I：

10.1017/S0013091510000428

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group of odd order that contains a non-central element x whose order is either a prime p >= 5 or 3(l), with l >= 2. Then, in U(ZG), the group of units of ZG, we can find an alternating unit u based on x, and another unit v, which can be either a bicyclic or an alternating unit, such that for all sufficiently large integers m we have that < u(m), v(m)> = < u(m)> * < v(m)> congruent to Z * Z.

引用

页码：695 / 709

页数：15

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