| 在其Sylow子群上作用双传递的有限群 |
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| 引用本文： | 李才恒,王杰.在其Sylow子群上作用双传递的有限群[J].数学学报,1998,41(5):931-942. |
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| 作者姓名： | 李才恒 王杰 |
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| 作者单位： | [1]西澳大学数学系 [2]北京大学数学系 |
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| 摘 要： | 本文完全确定了下述类型的有限群：（１）对于某个素数ｐ，在其Ｓｙｌｏｗｐ－子群的集合上作用双传递的所有几乎单群；（２）所有的非交换单群Ｔ，其自同构群在Ｔ的某个Ｓｙｌｏｗｐ－子群的集合上作用双传递；（３）在其所有的Ｓｙｌｏｗ子群上双传递的全部有限群．
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| 关 键 词： | 有限群，Sylow子群，双传递作用 |
Finite Groups Acting 2-Transitively on Their Sylow Subgroups |
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| Li Caiheng.Finite Groups Acting 2-Transitively on Their Sylow Subgroups[J].Acta Mathematica Sinica,1998,41(5):931-942. |
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| Authors: | Li Caiheng |
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| Institution: | Li Caiheng (Department of Mathematics, The University of Western Australia, Nedlands, WA 6907, Australia) (Email: li@maths.uwa.edu.au) Wang Jie (Department of Mathematics, PekingUniversity, Beijing 100871, China) (Email: wangj@sxx0 math.pku |
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| Abstract: | In this paper we have completely determined:(1)all almost simple groups which act 2 transitively on one of their setsof Sylow p subgroups;(2)all non abelian simple groups T whose automorphism group acts 2 transitively on one of the sets of Sylowp subgroups of T;(3)all finite groups which are 2 transitive on all their sets of Sylow subgroups. |
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| Keywords: | Finite group Sylow subgroup 2 transitive action |
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