| 某类群之增广理想及其增广商群的基底 |
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| 引用本文： | 赵红梅,唐国平.某类群之增广理想及其增广商群的基底[J].西南民族学院学报(自然科学版),2006,32(3):428-432. |
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| 作者姓名： | 赵红梅 唐国平 |
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| 作者单位： | 西北工业大学理学院,陕西,西安,710072 中科院研究生院数学系,北京,100049 |
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| 摘 要： | 令H是任意非Abel有限群G的完全正规子群,记△n(G)为整群环ZG的n次增广理想,Qn(G)为增广商群△n(G)/△n 1(G).当G/H为循环群或基本p-群时,给出了△n(G)的一组基底,确定其增广商群Qn(G)的结构.
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| 关 键 词： | 完全群 整群环 增广理想 基底 增广商群 |
| 文章编号： | 1003-2843(2006)03-0428-05 |
| 修稿时间： | 2005年12月16 |
Basis of powers of augmentation ideals and their quotient groups for some groups |
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| ZHAO Hong-mei,TANG Guo-ping.Basis of powers of augmentation ideals and their quotient groups for some groups[J].Journal of Southwest Nationalities College(Natural Science Edition),2006,32(3):428-432. |
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| Authors: | ZHAO Hong-mei TANG Guo-ping |
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| Abstract: | Let G be a finite nonabelian group with a perfect normal subgroup H , let ( )? n G denote the n 'th power of the augmentation ideal ? ( G) of the integral group ring Z G and ( )Qn G the quotient group ( ) ( )? n G ? n 1G. When G H is a cyclic or an elementary p ? group, an explicit basis for ( )? n G is given and the structure of the quotient groups ( )Qn G is determined. |
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| Keywords: | perfect group integral group ring augmentation ideal basis quotient group |
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