| 群与合成列的数目之间的几个充要条件 |
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| 引用本文： | 徐承波.群与合成列的数目之间的几个充要条件[J].湖北大学学报(自然科学版),2005,27(2):101-103. |
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| 作者姓名： | 徐承波 |
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| 作者单位： | 湖北大学数学与计算机科学学院，湖北武汉430062 |
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| 基金项目： | 国家自然科学基金(10371032)资助课题 |
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| 摘 要： | 讨论了循环P-群，初等交换P-群以及所有Sylow子群为循环群的群G与其合成列的数目之间的关系，得到了3个充要条件．
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| 关 键 词： | P-群 合成列 Frattini子群 Sylow子群 |
| 文章编号： | 1000-2375(2005)02-0101-03 |
| 修稿时间： | 2004年6月25日 |
Several sufficient and necessary conditions between groups and the numbers of their composition series |
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| XU Cheng-bo.Several sufficient and necessary conditions between groups and the numbers of their composition series[J].Journal of Hubei University(Natural Science Edition),2005,27(2):101-103. |
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| Authors: | XU Cheng-bo |
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| Abstract: | Studied the relations between cyclic p-groups,elementary Abel p-groups and the groups all of whose Sylow subgroups are cyclic and the numbers of their composition series,and obtained three sufficient and necessary conditions. |
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| Keywords: | p-group composition series Frattini subgroup Sylow subgroup |
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