| 可表示成3个真子群并的群 |
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| 引用本文： | 张荔,薛海波.可表示成3个真子群并的群[J].太原师范学院学报(自然科学版),2008,7(3):43-44. |
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| 作者姓名： | 张荔 薛海波 |
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| 作者单位： | [1]晋中学院师范分院数学系,山西晋中030600; [2]西南大学育才学院,重庆401524 |
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| 摘 要： | 文献1]给出了一个群不可能表示成两个真子群的并.文章证明了存在一个群可以表示成3个真子群的并,并证明了一个有限交换G群如果能够表示成3个真子群的并,那么G中存在子群N使得G/N≌Z2×Z2.
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| 关 键 词： | 交换群 真子群 单群 |
The Groups Which is the Union of Three Proper Subgroups |
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| Zhang Li,Xue Haibo.The Groups Which is the Union of Three Proper Subgroups[J].Journal of Taiyuan Normal University:Natural Science Edition,2008,7(3):43-44. |
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| Authors: | Zhang Li Xue Haibo |
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| Institution: | Zhang Li, Xue Haibo (1. Jinzhong Normal School, Jinzhong 030600 ; 2. Yueai College ,Southwest China University ,Chongqing 401524,China) |
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| Abstract: | In1],it showed that there subgroups. There are some groups that are the is not a group which is the union of two proper union of three proper subgroups ,furthermore ,weshow that an abelian group G which is the union of three proper subgroups if and only if there is a subgroup Nsuch that G/N≌Z2×Z2. |
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| Keywords: | abelian groups proper subgroups simple groups |
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