| Suzuki群Sz(q)和线性空间的自同构群 |
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| 引用本文： | 李上钊.Suzuki群Sz(q)和线性空间的自同构群[J].数学杂志,2016,36(2):298-302. |
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| 作者姓名： | 李上钊 |
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| 作者单位： | 1. 常熟理工学院数学与统计学院, 江苏 常熟 215500;2. 苏州大学数学科学学院, 江苏 苏州 215006 |
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| 基金项目： | 国家自然科学基金资助(11172643;11271208) |
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| 摘 要： | 本文研究了线性空间的几乎单的线传递自同构群.利用有限线性空间上线传递自同构群的经典结论,以及Suzuki群Sz(q)的性质,获得了线性空间上线传递且点本原的自同构群的基柱不是Sz(q)的结果,推广了关于线传递性空间的已有结果.
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| 关 键 词： | 线传递 点本原 线性空间 基柱 |
| 收稿时间： | 2013/7/13 0:00:00 |
| 修稿时间： | 2014/1/7 0:00:00 |
THE SUZUKI GROUPS Sz(q) AND AUTOMORPHISMS OF LINEAR SPACES |
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| LI Shang-zhao.THE SUZUKI GROUPS Sz(q) AND AUTOMORPHISMS OF LINEAR SPACES[J].Journal of Mathematics,2016,36(2):298-302. |
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| Authors: | LI Shang-zhao |
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| Institution: | 1. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China;2. School of Mathematics and Science, Soochow University, Suzhou 215006, China |
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| Abstract: | In this paper, we investigate almost simple line-transitive groups of automorphisms of linear spaces. By using classical results about line-transitive groups of automorphisms of finite linear spaces and some properties of Suzuki groups Sz(q), we obtain that the socle of the group of automorphisms of linear spaces which is line-transitive and point-primitive is not Sz(q), which generalizes some known results about line-transitive linear spaces. |
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| Keywords: | line-transitive point-primitive linear space socle |
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