| 整群环上核群D(ZG)的一个注记 |
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| 作者姓名： | 刘佳 唐国平 |
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| 作者单位： | 中国科学院研究生院数学科学学院, 北京 100049 |
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| 基金项目： | 国家自然科学基金(11071247)资助 |
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| 摘 要： | 设G为一有限群, Λ为群代数QG的一个Z-序, Λ'为包含Λ的一个极大Z-序. 由包含映射诱导出的局部自由类群CL(Λ)到CL(Λ')的同态映射的核定义为核群D(Λ). 当G为有限p-群时, 对D(ZG)的指数给出一个估计.
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| 关 键 词： | 整群环 核群D(ZG) 极大Z-序 |
| 收稿时间： | 2012-03-28 |
| 修稿时间： | 2012-05-15 |
A note on the kernel group of an integral group ring |
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| Authors: | LIU Jia TANG Guo-Ping |
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| Institution: | School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | 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). |
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| Keywords: | integral group ring kernel group D(ZG)" target="_blank">D(ZG)')">kernel group D(ZG) maximal Z-order |
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