Maximal 2-local subgroups of \(C_ 1\) (Q1075428)
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scientific article; zbMATH DE number 3950811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal 2-local subgroups of \(C_ 1\) |
scientific article; zbMATH DE number 3950811 |
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Maximal 2-local subgroups of \(C_ 1\) (English)
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1984
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In [J. Algebra 63, 413-434 (1980; Zbl 0427.20010)] \textit{R. T. Curtis} proved, that there are precisely five classes of maximal 2-local subgroups in the largest Conway group \(Co_ 1\). He left open the question whether these groups are maximal in \(Co_ 1\). Working in the Leech lattice the author of the paper under review shows, that these 2- local subgroups are maximal in \(Co_ 1\).
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maximal 2-local subgroups
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Conway group
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Leech lattice
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