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作用在有限线性空间上基柱为2F4(q)的几乎单群
  • 期刊名称：数学杂志
  • 时间：0
  • 页码：423-427
  • 语言：中文
  • 分类：O152.1[理学—数学;理学—基础数学] O157.2[理学—数学;理学—基础数学]
  • 作者机构：[1]常熟理工学院数学与统计学院,江苏常熟215500, [2]湖南人文科技学院数学系,湖南娄底417000
  • 相关基金：Supported by National Natural Science Foundation of China（10871205）
  • 相关项目：具有良好传递性的组合结构
作者： 廖小莲|LIAO Xiao-lian|李上钊|LI Shang-zhao|
关键词： 线传递, 线性空间, 自同构, 几乎单群, 稳定子群, line-transitive, linear space, automorphism, almost simple group, stabiliser
中文摘要：

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.

英文摘要：

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.

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具有良好传递性的组合结构
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作用在有限线性空间上基柱为F4（q）的几乎单群