作用在有限线性空间上基柱为2F4(q)的几乎单群
작용재유한선성공간상기주위2F4(q)적궤호단군
ALMOST SIMPLE GROUPS WITH SOCLE 2F4(q)ACTING ON FINITE LINEAR SPACES
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2011年 3期 423-427 ,共5页

    李上钊%廖小莲

    리상쇠%료소련

    线传递%线性空间%自同构%几乎单群%稳定子群 線傳遞%線性空間%自同構%幾乎單群%穩定子群
    선전체%선성공간%자동구%궤호단군%은정자군
    line-transitive%linear space%automorphism%almost simple group%stabiliser
    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.
    본문연구료기주동구우2F4(q)적선전체적궤호단군.이용료유한선성공간상선전체적자동구군적경전결론,이급2F4(q)적계화겁대자군등성질,획득료점은정자군화선은정자군적분류.
    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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