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

JOURNAL OF ALGEBRA

卷:434

Article

Bakshi, Gurmeet K.¹  Maheshwary, Sugandha¹ 

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

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

DOI  :  10.1016/j.jalgebra.2015.03.012

来源: Elsevier

【 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.

【 授权许可】

Free