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.
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.
出处
《数学杂志》
CSCD
北大核心
2011年第3期423-427,共5页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10871205)
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