Three Lectures on Exceptional Groups
Three Lectures on Exceptional Groups
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关于特殊群体的三场讲座
DOI：
10.1007/978-1-4757-2016-7_10
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发表时间：
1988
期刊：
影响因子：
64.8
通讯作者：
J. Conway
中科院分区：
文献类型：
--
作者：
J. Conway
第一次讲座记录某些特殊性质的群体L 2（p），并给出了描述的马蒂厄组M 12和它的一些小组，其次是一个题外话的Janko组J 1的顺序175560。除了扬科群的材料，所有描述的结构都出现在马蒂厄群M 24中，这是第二堂课的主题，在那里M 24被构造，它的子群被详细描述。信息M 24然后发现有用的第三次讲座，对集团C o 0 = · 0及其子群。附录描述了特殊的单群。
The first lecture records certain exceptional properties of the groups L 2 (p) and gives a description of the Mathieu group M 12 and some of its subgroups, followed by a digression on the Janko group J 1 of order 175560. With the exception of the Janko group material, all the structure described appears within the Mathieu group M 24, which is the subject of the second lecture, where M 24 is constructed and its subgroups described in some detail. The information on M 24 is then found useful in the third lecture, on the group C o 0 = · 0 and its subgroups. An appendix describes the exceptional simple groups.