| A characteristic condition of finite nilpotent group |
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| 作者姓名： | 李样明 |
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| 作者单位： | Department of |
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| 基金项目： | Project (No. Z03095) supported by the Natural Science Founda-
tion of Guangdong Institutions of Higher Learning，College and
University and Professor Fund of GDEI，China |
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| 摘 要： | INTRODUCTION In this paper, all groups considered are finite;G means a finite group. We use conventional notions and notations, asin Huppert (1968). Recall that a minimal subgroupof a finite group is a subgroup of prime order. Forthe group of even order, it is helpful to also considerthe cyclic subgroup of order 4. Two subgroups Hand K of a group G are said to permute if HK=KH.It is easily seen that H and K permute if and only ifthe set of HK is a subgroup of G. We know…
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A characteristic condition of finite nilpotent group |
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| LI Yang-ming.A characteristic condition of finite nilpotent group[J].Journal of Zhejiang University Science,2004(7). |
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| Authors: | LI Yang-ming |
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| Abstract: | This paper gives a characteristic condition of finite nilpotent group under the assumption that all minimal subgroups of G are well-suited in G. |
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| Keywords: | Z-permutable subgroup Nilpotent group The generalized Fitting subgroup Hypercenter subgroup |
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