A 3-local characterization of \(Co_3\). (Q866511)
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scientific article; zbMATH DE number 5126362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A 3-local characterization of \(Co_3\). |
scientific article; zbMATH DE number 5126362 |
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A 3-local characterization of \(Co_3\). (English)
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14 February 2007
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The authors give a 3-local characterization of the finite simple sporadic group \(Co_3\). Namely, they prove that if \(G\) is a finite group, \(S\) a 3-Sylow subgroup of \(G\) and \(J\) is a subgroup of \(S\) such that, in the Atlas notation, \(N_G(Z(S))=3_+^{1+4}.2.2.L_2(9).2\) and \(N_G(J)=3^5:(2\times M_{11})\) then \(G\simeq Co_3\).
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sporadic simple groups
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Conway groups
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classification of finite simple groups
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3-local subgroups
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