| 引用本文： |
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林仕勋,任北上,王锦锦,夏嘉艺.有限群的陪集及二重陪集的性质[J].广西科学院学报,2011,27(4):306-310. [点击复制]
- LIN Shi-xun,REN Bei-shang,WANG Jin-jin,XIA Jia-yi.Properties of Cosets and Double Cosets on Finite Groups[J].Journal of Guangxi Academy of Sciences,2011,27(4):306-310. [点击复制]
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| 摘要: |
| 以有限群子群的陪集为切入点,探讨二重陪集在群元素的计数、陪集和子群性质等方面的作用,从侧面考察了陪集和二重陪集之间的关系. |
| 关键词: 有限群 陪集 二重陪集 陪集代表系 |
| DOI： |
| 投稿时间：2011-06-20 |
| 基金项目:广西自然科学基金项目(桂科目2011GXNSFA018144,2010GXNSFB013048);广西教育厅科研项目(200911MS145);2012年度新世纪广西高等教育教学改革工程项目资助 |
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| Properties of Cosets and Double Cosets on Finite Groups |
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LIN Shi-xun, REN Bei-shang, WANG Jin-jin, XIA Jia-yi
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| (School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi, 530001, China) |
| Abstract: |
| Based on the coset of finite groups,the action of double coset in counting group elements,properties of cosets and subgroups are studied.The relationship between cosets and double cosets are investigated from other side. |
| Key words: finite group coset double coset system of coset representatives |
