| 摘要: |
| 本文研究了基柱同构于2F4(q)的线传递的几乎单群.利用了有限线性空间上线传递的自同构群的经典结论,以及2F4(q)的阶和极大子群等性质,获得了点稳定子群和线稳定子群的分类. |
| 关键词: 线传递 线性空间 自同构 几乎单群 稳定子群 |
| DOI： |
| 分类号:O152.1 O157.2 |
| 基金项目:Supported by National Natural Science Foundation of China(10871205) |
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| ALMOST SIMPLE GROUPS WITH SOCLE 2F4(q)ACTING ON FINITE LINEAR SPACES |
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LI Shang-zhao,LIAO Xiao-lian
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LI Shang-zhao1,LIAO Xiao-lian2(1.School of Math.and Statistics,Changshu Institute of Technology,Changshu 215500,China)(2.Dept.of Math.,Hunan Institute of Humanities Science and Technology,Loudi 417000,China)
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| Abstract: |
| In this article, we investigate almost simple line-transitive groups whose socle is conjugate to 2F4(q). By using classical results about line-transitive groups of automorphisms of finite linear spaces and some properties of 2F4(q) such as its order and the maximal groups, we obtain the classification of the point stabiliser and line stabiliser. |
| Key words: line-transitive linear space automorphism almost simple group stabiliser |
