The subgroup structure of the Lyons group

The subgroup structure of the Lyons group
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Lyons群的子群结构

DOI:
10.1017/s0305004100061703
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发表时间:
1984
影响因子:
0.8
通讯作者:
R. Wilson
R. Wilson
中科院分区:
数学2区
文献类型:
--
作者:
R. Wilson

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本文的主要目的是对阶为51,765,179,004,000,000=28.37.56.7.11.31.37.67的Lyons群Ly的极大p-局部子群进行分类。我们还确定了其中哪些是Ly的极大子群,在第5节和第6节中,我们给出了一些关于非局部子群的信息。
The main purpose of this paper is to classify the maximal p-local subgroups of the Lyons group Ly, of order 51,765,179,004,000,000 = 28.37.56.7.11.31.37.67, for each primes dividing the order of the group. We also determine which of these are maximal subgroups of Ly, and in Sections 5 and 6 we give some information on the non-local subgroups.