| 几乎M可补子群对群构造的影响 |
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| 引用本文： | 邱婷婷,王强,鲍宏伟.几乎M可补子群对群构造的影响[J].徐州师范大学学报(自然科学版),2012(3):1-3. |
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| 作者姓名： | 邱婷婷 王强 鲍宏伟 |
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| 作者单位： | 扬州大学数学科学学院;蚌埠学院数理系 |
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| 基金项目： | 国家自然科学基金资助项目(10901133);江苏省高校自然科学基金资助项目(09KJB110009);蚌埠学院自然科学基金资助项目(2011ZR03zd) |
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| 摘 要： | 设G是有限群，H是群G的一个子群．如果存在G的正规子群K，使得HK△G且对于H的任意极大子群T，有TK〈HK，则称子群H为在G中是几乎M可补的．本文主要利用某些准素子群的几乎M可补性质来研究有限群的结构，得到了群G为P超可解和超可解的相关结果．
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| 关 键 词： | 有限群 几乎M可补子群 P超可解 Sylow子群 |
Influence of the nearly M-supplemented subgroup on the structure of finite groups |
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| Qiu Tingting,Wang Qiang,Bao Hongwei.Influence of the nearly M-supplemented subgroup on the structure of finite groups[J].Journal of Xuzhou Normal University(Natural Science Edition),2012(3):1-3. |
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| Authors: | Qiu Tingting Wang Qiang Bao Hongwei |
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| Institution: | 1.School of Mathematical Science,Yangzhou University,Yangzhou 225002,Jiangsu,China; 2.Department of Mathematics & Physics,Bengbu College,Bengbu 233000,Anhui,China) |
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| Abstract: | Let G be a finite group. A subgroup H of G is said to be nearly M-supplemented inG if there exists a nor- mal subgroup K of G such that HK △1 G and TK〈HK for every maximal subgroup T of H. In this paper,we will obtain some results about p-supersolvability and supersolvability of G by using the property of the nearly M-supple- mented subgroup of G. |
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| Keywords: | finite group nearly M-supplemented subgroup p-supersolvability Sylow subgroup |
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