The maximal subgroups of Conway's group Co1
The maximal subgroups of Conway's group Co1
复制标题
康威群 Co1 的最大子群
DOI：
10.1016/0021-8693(83)90122-9
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发表时间：
1983
影响因子：
0.9
通讯作者：
R. Wilson
中科院分区：
文献类型：
--
作者：
R. Wilson
本文的目的是完成阶为4157776806543360000= 221的Conway简单群Co的极大子群的枚举。39. 54. 72. 11. 13. 23. 为了增加本文的有用性，我们还详细讨论了这些群的结构，尽可能给出了显式生成器。Curtis已经对本地子组进行了分类（见[7]），他也对非本地子组做了大量的工作（见[6]）。很明显，本文的工作很大程度上要归功于这两篇论文，尤其是后者。特别地，我们将证明：
The aim of this paper is to complete the enumeration of the maximal subgroups of Conway’s simple group Co, of order 4157776806543360000= 221. 39. 54. 72. 11. 13. 23. To increase the usefulness of the paper we also discuss the structure of these groups in some detail, giving explicit generators wherever possible. The local subgroups have already been classified by Curtis (see [7]), who has also done a considerable amount of work on the non-local subgroups (see [6]). It will be obvious that the present work owes a great deal to both of these papers, and especially the latter. In particular, we shall prove: