收稿日期: 2012-03-28
修回日期: 2012-05-15
网络出版日期: 2012-05-15
基金资助
国家自然科学基金(11071247)资助
A note on the kernel group of an integral group ring
Received date: 2012-03-28
Revised date: 2012-05-15
Online published: 2012-05-15
刘佳 , 唐国平 . 整群环上核群D(ZG)的一个注记[J]. 中国科学院大学学报, 2013 , 30(3) : 289 -292 . DOI: 10.7523/j.issn.1002-1175.2013.03.001
Let G be a finite group, Λ be a Z-order of group algebra QG, and Λ' be a maximal Z-order containing Λ. There is a homomorphism between locally free groups CL(Λ) and CL(Λ') which is induced by including map, and the kernel group D(Λ) is defined to be the kernel of this homomorphism. When G is a p-group, we give an estimate of the exponent of the kernel group D(ZG).
Key words： integral group ring; kernel group D(ZG); maximal Z-order
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