| 半次覆盖远离子群和有限群的可解性 |
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| 引用本文： | 李士恒,柳海萍,刘冬华.半次覆盖远离子群和有限群的可解性[J].数学杂志,2017,37(6):1303-1308. |
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| 作者姓名： | 李士恒 柳海萍 刘冬华 |
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| 作者单位： | 郑州航空工业管理学院理学院, 河南 郑州 450015,郑州航空工业管理学院经贸学院, 河南 郑州 450015,郑州铁路职业技术学院公共教学部, 河南 郑州 450052 |
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| 基金项目： | 国家自然科学基金青年项目资助（11501176）；河南省高等学校重点科研项目资助（16A110039）. |
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| 摘 要： | 本文定义了有限群的半次覆盖远离子群概念,研究了半次覆盖远离子群和有限群的可解性问题.利用某些半次覆盖远离子群刻划了有限群的可解性,得到了若所有的sylow子群(或极大子群)半次覆盖远离则群可解,推广了文献6]中的结果.
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| 关 键 词： | 有限群 半次覆盖远离子群 极大子群 可解 |
| 收稿时间： | 2016/1/28 0:00:00 |
| 修稿时间： | 2016/6/8 0:00:00 |
SEMI-SUBNORMAL-COVER-AVOIDANCE SUBGROUPS AND THE SOLVABLITY OF FINITE GROUPS |
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| LI Shi-heng,LIU Hai-ping and LIU Dong-hua.SEMI-SUBNORMAL-COVER-AVOIDANCE SUBGROUPS AND THE SOLVABLITY OF FINITE GROUPS[J].Journal of Mathematics,2017,37(6):1303-1308. |
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| Authors: | LI Shi-heng LIU Hai-ping and LIU Dong-hua |
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| Institution: | School of Science, Zhengzhou University of Aeronautics, Zhengzhou 450015, China,School of Economics and Trade, Zhengzhou University of Aeronautics, Zhengzhou 450015, China and Department of Public Education, Zhengzhou Railway Vocational and Technical College, Zhengzhou 450052, China |
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| Abstract: | In this paper, we define semi-subnormal-cover-avoidance subgroups of finite groups and study the solvability between groups and their semi-subnormal-cover-avoidance subgroups. With semi-subnormal-cover-avoidance subgroups, we characterize the solvability of finite groups and obtain the results that the group is soluble if all of its sylow groups (or maximal subgroups) are semi-subnormal-cover-avoidance subgroups, which generalize the results in6]. |
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| Keywords: | finite group Semi-subnormal-cover-avoidance subgroups maximal subgroups solvable |
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