On the index of a free abelian subgroup in the group of central units of an integral group ring

被引：3

作者：

Bakshi, Gurmeet K. ^{[1
]}

Maheshwary, Sugandha ^{[1
]}

机构：

[1] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India

来源：

JOURNAL OF ALGEBRA | 2015年 / 434卷

关键词：

Integral group rings; Unit group; Central units; Generalized Bass units; Wedderburn decomposition; Strong Shoda pairs; Strongly monomial groups; Normally monomial groups;

D O I：

10.1016/j.jalgebra.2015.03.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Z(u(Z[G])) denote the group of central units in the integral group ring Z[G] of a finite group G. A bound on the index of the subgroup generated by a virtual basis in Z(u(Z[G])) is computed for a class of strongly monomial groups. The result is illustrated with application to the groups of order p(n), p prime, n <= 4. The rank of Z(u(Z[G])) and the Wedderburn decomposition of the rational group algebra of these p-groups have also been obtained. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：72 / 89

页数：18

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