| 交换子群较小的一类有限p群 |
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| 引用本文： | 安立坚,成小院.交换子群较小的一类有限p群[J].数学研究,2011,44(1):107-110. |
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| 作者姓名： | 安立坚 成小院 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西,临汾,041004 |
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| 基金项目： | 国家自然科学基金资助项目，山西省自然科学基金资助项目，山西省回国留学人员科研项目 |
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| 摘 要： | 研究了阶为p(m(m+1)/2)且交换子群的最大阶为p(m)的有限群,得到了这类特殊的p群的几个性质,给出了满足极大类条件的这类p群的同构分类.
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| 关 键 词： | 亚交换群 正则p群 极大类p群 |
A Special Class of Finite p-groups with Small Abelian Subgroups |
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| An Lijian,Cheng Xiaoyuan.A Special Class of Finite p-groups with Small Abelian Subgroups[J].Journal of Mathematical Study,2011,44(1):107-110. |
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| Authors: | An Lijian Cheng Xiaoyuan |
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| Institution: | An Lijian Cheng Xiaoyuan (Department of Mathematics.Shanxi Normal University,Linfen Shanxi041004) |
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| Abstract: | In this paper,a special class of finite p-groups is investigated.Such groups have order p~((m(m+1))/2),and their maiximal abelian subgroups have order p~m.We describe this special finite p-groups,and give a complete classification under the condition of maximal class |
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| Keywords: | Metabelian groups Regular p-groups p-groups of maximal class |
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