| 有限群的X-s-置换子群 |
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| 引用本文： | 苏敏邦,李样明. 有限群的X-s-置换子群[J]. 数学研究及应用, 2010, 30(5): 876-882. DOI: 10.3770/j.issn:1000-341X.2010.05.015 |
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| 作者姓名： | 苏敏邦 李样明 |
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| 作者单位： | 佛山科技学院学数学系, 广东 佛山 528000;广东第二师范学院数学系, 广东 广州 510310 |
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| 基金项目： | 国家自然科学基金(Grant No.10871210),广东省自然科学基金(Grant No.06023728). |
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| 摘 要： | Let X be a nonempty subset of a group G.A subgroup H of G is said to be X-s-permutable in G if there exists an element x ∈ X such that HPx = PxH for every Sylow subgroup P of G.In this paper,some new results are given under the assumption that some suited subgroups of G are X-s-permutable in G.
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| 关 键 词： | Sylow子群 置换 有限群 非空子集 |
| 收稿时间： | 2008-08-28 |
| 修稿时间： | 2009-05-18 |
On X-s-Permutable Subgroups of a Finite Group |
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| Min Bang SU and Yang Ming LI. On X-s-Permutable Subgroups of a Finite Group[J]. Journal of Mathematical Research with Applications, 2010, 30(5): 876-882. DOI: 10.3770/j.issn:1000-341X.2010.05.015 |
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| Authors: | Min Bang SU and Yang Ming LI |
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| Affiliation: | 1. Department of Mathematics,Foshan University,Guangdong 528000,P.R.China
2. Department of Mathematics,Guangdong University of Education,Guangdong 510310,P.R.China |
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| Abstract: | Let $X$ be a nonempty subset of a group $G$. A subgroup $H$ of $G$ is said to be $X$-$s$-permutable in $G$ if there exists an element $xin X$ such that $HP^x = P^xH$ for every Sylow subgroup $P$ of $G$. In this paper, some new results are given under the assumption that some suited subgroups of $G$ are $X$-$s$-permutable in $G$. |
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| Keywords: | finite group $X$-$s$-permutable subgroup the generalized Fitting subgroup formation. |
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