| 只含一个p阶子群的无限p—群 |
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| 引用本文： | 陈重穆. 只含一个p阶子群的无限p—群[J]. 西南师范大学学报(自然科学版), 1992, 17(4): 415-417 |
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| 作者姓名： | 陈重穆 |
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| 作者单位： | 西南师范大学数学系 重庆630715 |
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| 摘 要： | 若群G有上升列1=G_0
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| 关 键 词： | 无限p群 无限群 子群 |
INFINITE p-GROUPS WITH ONLY ONE SUBGROUPS OF ORDER p |
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| Chen Zhongmu. INFINITE p-GROUPS WITH ONLY ONE SUBGROUPS OF ORDER p[J]. Journal of southwest china normal university(natural science edition), 1992, 17(4): 415-417 |
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| Authors: | Chen Zhongmu |
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| Abstract: | The paper proves: Assume that infinite p -group P contains only one subgroup of order p . IS p =2, then P - Z(2) or the locally general quaterion groupIf p is odd and P is a locally Al-group, then P - O is called an Al-group, if G has an ascending series:with an ordinal number, in which, for every pair of adjacent groups Gt < Gi+1 , there exists an abelian subgroup Ai, such that GtAt = Gi+1 . |
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| Keywords: | infinite groups quasicyclic groups: locally general quterion groups AI-groups |
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