| 内交换p群的中心扩张(Ⅱ) |
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| 引用本文： | 曲海鹏,张小红.内交换p群的中心扩张(Ⅱ)[J].数学学报,2010,53(5):933-944. |
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| 作者姓名： | 曲海鹏 张小红 |
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| 作者单位： | 山西师范大学数学与计算机科学学院 临汾 041004 |
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| 基金项目： | 国家自然科学基金资助项目(10671114);山西省自然科学基金(2008012001)和山西省回国留学人员科研项目([2007]13-56)资助 |
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| 摘 要： | 设N,H是任意的群.若存在群G,它具有正规子群N≤Z(G),使得N≌N且G/N≌H,则称群G为N被H的中心扩张.本文完全分类了当N为循环p群,H为内交换p群时,N被H的中心扩张得到的所有不同构的群.
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| 关 键 词： | 中心扩张 循环P群 内交换P群 |
| 收稿时间： | 2009-06-30 |
| 修稿时间： | 2010-03-24 |
The Central Extension of Inner Abelian p-Groups (II) |
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| Institution: | Department of Mathematics of Shanxi Normal University, Linfen 041004, P. R. China |
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| Abstract: | Assume N and H are groups. If there is a group G which has a normal subgroup Ñ≤ Z(G) such that Ñ≌N and G/Ñ≌H, then G is called a central extension of N by H. In this paper, we classify all groups which are central extensions of N by H, where N is a cyclic p-group and H is an inner abelian p-group.
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| Keywords: | central extensions cyclic p-groups inner abelian p-groups |
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