| 用极大子群阶之集刻划有限单群 |
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| 引用本文： | 王殿军.用极大子群阶之集刻划有限单群[J].西南师范大学学报(自然科学版),1993,18(1):18-21. |
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| 作者姓名： | 王殿军 |
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| 作者单位： | 延安大学 延安716000 |
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| 摘 要： | 设G是有限群,π_s(G)是G的极大子群阶之集.在这篇短文中,我们证明了下面的定理:定理 设M是复阶单群,|M|< 10~6,则G≌M当且仅当π_s(G)=π_x(M).基于已得到的结果,我们还提出了如下猜想:设M是复阶单群,则G≌M当且仅当π_s(G)=π_2(M).
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| 关 键 词： | 有限群 单群 极大子群 |
CHARACTERIZATION OF SOME SIMPLE GROUPS WITH THE SET OF THE ORDERS OF MAXIMAL SUBGROUPS |
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| Wang Dianjun.CHARACTERIZATION OF SOME SIMPLE GROUPS WITH THE SET OF THE ORDERS OF MAXIMAL SUBGROUPS[J].Journal of Southwest China Normal University(Natural Science),1993,18(1):18-21. |
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| Authors: | Wang Dianjun |
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| Abstract: | Let G be a finite group and n,(G) the set of the orders of maximal subgroups of G . A theorem is proved:Theorem Let M be a nonabelian simple group, | M \ < 106 , then G = M if and only if jr,(G) =(M)Based on the results we have obtained, a conjecture is also put forward: Conjecture Let G be a finite group and M a nonabelian simple group. The G = M if and only if |
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| Keywords: | finite groups simple groups maximal subgroups |
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