| Bn(3)型单群的谱刻画 |
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| 引用本文： | 何怀玉.Bn(3)型单群的谱刻画[J].西南师范大学学报(自然科学版),2012,37(8):5-8. |
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| 作者姓名： | 何怀玉 |
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| 作者单位： | 上海政法学院经济管理系,上海,201701 |
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| 基金项目： | 上海市优青基金资助项目 |
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| 摘 要： | 群的全部元素的阶的集合称之为谱.利用素图的连接标准,对非连通的Bn(3)型单群进行了谱刻画,证明了任意与Bn(3)具有相同谱的有限群必然和Bn(3)同构(其中n>3),进一步验证了A.S.Kondratiev猜想.
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| 关 键 词： | 单群 谱 刻画 素图 |
On Characterization of the Simple Group Bn (3) by Means of Spectrum |
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| HE Huai-yu.On Characterization of the Simple Group Bn (3) by Means of Spectrum[J].Journal of Southwest China Normal University(Natural Science),2012,37(8):5-8. |
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| Authors: | HE Huai-yu |
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| Institution: | HE Huai-yu Department of Economics and Management,Shanghai University of Political Science and Law,Shanghai 201701,Chin |
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| Abstract: | The set of element orders of a group is named spectrum.By the adjacency criterion for the prime graph,and for the finite simple group Bn(3) with disconnected prime graph,we establish that every finite group with the same spectrum as Bn(3) is isomorphic to Bn(3) for n>3,which furthermore supports A.S.Kondratiev’s conjecture. |
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| Keywords: | simple group spectrum characterization prime graph |
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