| 闭2-极大子群指数为素数幂的有限群 |
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| 引用本文： | 李士恒,施武杰.闭2-极大子群指数为素数幂的有限群[J].数学年刊A辑(中文版),2013,34(3):285-290. |
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| 作者姓名： | 李士恒 施武杰 |
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| 作者单位： | 郑州航空工业管理学院数理系, 郑州 450015.;重庆文理学院数学与统计学院, 重庆 402160. |
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| 基金项目： | 国家自然科学基金 (No.11171364) |
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| 摘 要： | 设G为有限群, 如果G的每个非2-闭极大子群的指数均为素数幂, 那么
G-S(G)≌PSL2(7)或1, 其中S(G)为G的最大可解正规子群.
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| 关 键 词： | 有限群 2-闭 极大子群 |
Finite Groups Whose Every Non-2-Closed Maximal
Subgroup is of Prime Power Index |
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| LI Shiheng and SHI Wujie.Finite Groups Whose Every Non-2-Closed Maximal
Subgroup is of Prime Power Index[J].Chinese Annals of Mathematics,2013,34(3):285-290. |
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| Authors: | LI Shiheng and SHI Wujie |
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| Institution: | Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical
Industry Management, Zhengzhou 450015, China.;College of Mathematics and Statistics, Chongqing University of Arts and Sci-
ences, Chongqing 402160, China. |
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| Abstract: | Let $G$ be a finite group. If every non-2-closed maximal subgroup of $G$ is of prime power index, then
$G/S(G)\cong PSL_2(7)$ or 1, where $S(G)$ is the maximal soluble normal subgroup of $G$. |
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| Keywords: | Finite group 2-closed Maximal subgroup |
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