| 关于弱半可根群 |
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| 引用本文： | 吕恒,段泽勇,余大鹏.关于弱半可根群[J].东北数学,2005,21(2):181-188. |
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| 作者姓名： | 吕恒 段泽勇 余大鹏 |
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| 作者单位： | College of Mathematics and Information Science，Shanxi Normal University，Xi'an，710062，Department of Mathematics，Southwest China Normal University，Chongqing，400715，Department of Mathematics，Southwest China Normal University，Chongqing，400715，Department of Mathematics，Yuxi College，Yongchuan，Chongqing，402168 |
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| 摘 要： | In this paper, we prove that if a torsion nilpotent group G is a weak semi-radicable group, then every Sylow p-group Gp is a central-by-finite p-group, and moreover Gp's center ζ(GP) satisfies |ζ(GP) : (ζ(GP))P| <∞, that is, ζ(GP) = D×F, where D is a divisible Abelian group, and F is a finite Abelian group.
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| 关 键 词： | 弱半-放射群 阿贝尔群 特征子群 有限可分 |
On Weakly Semi-radicable Groups |
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| L Heng,DUAN Ze-yong,YU Da-peng.On Weakly Semi-radicable Groups[J].Northeastern Mathematical Journal,2005,21(2):181-188. |
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| Authors: | L Heng DUAN Ze-yong YU Da-peng |
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| Institution: | L(U) Heng,DUAN Ze-yong,YU Da-peng |
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| Abstract: | |
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| Keywords: | divisible group Abelian group nilpotent group radicable group semi-radicable group |
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