| Finite p-Groups Whose Abelian Subgroups Have a Trivial Intersection |
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| 作者姓名： | Shi Rong LI Xiu Yun GUO |
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| 作者单位： | [1]Department of Mathematics, Guangxi University, Nanning 530004, P. R. China [2]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| 基金项目： | The research of the first author is supported by the Natural Science Foundation of China （10161001） and the Natural Science Foundation of Guangxi of China;2） The research of the second author is partially supported by the National Natural Science Foundation of China（10471085）, the Shanghai Natural Science Foundation （Grant No. 03ZR）, the Development Foundation of Shanghai Education Committee and the Special Funds for Major Specialities of Shanghai Education Committee |
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| 摘 要： | A subgroup H of a finite group G is called a TI-subgroup if H ∩ H^x = 1 or H for all x ∈ G. In this paper, a complete classification for finite p-groups, in which all abelian subgroups are TI-subgroups, is given.
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| 关 键 词： | 有限p-群 阿贝尔亚群 平凡交 TI-亚群 |
| 修稿时间： | 2004-06-142004-12-02 |
Finite <Emphasis Type="Italic">p</Emphasis>–Groups Whose Abelian Subgroups Have a Trivial Intersection |
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| Shi Rong LI Xiu Yun GUO.Finite p-Groups Whose Abelian Subgroups Have a Trivial Intersection[J].Acta Mathematica Sinica,2007,23(4):731-734. |
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| Authors: | Shi?Rong?Li Xiu?Yun?Guo |
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| Institution: | (1) Department of Mathematics, Guangxi University, Nanning 530004, P. R. China;(2) Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | A subgroup H of a finite group G is called a TI–subgroup if H ∩ H
x
= 1 or H for all x ∈ G. In this paper, a complete classification for finite p–groups, in which all abelian subgroups are TI–subgroups, is given.
*The research of the first author is supported by the Natural Science Foundation of China (10161001) and the Natural Science
Foundation of Guangxi of China
**The research of the second author is partially supported by the National Natural Science Foundation of China(10471085),
the Shanghai Natural Science Foundation (Grant No. 03ZR), the Development Foundation of Shanghai Education Committee and the
Special Funds for Major Specialities of Shanghai Education Committee |
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| Keywords: | p-groups Abelian subgroups TI-subgroups |
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