A new maximal subgroup of the Monster (Q1614662)
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scientific article; zbMATH DE number 1797481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new maximal subgroup of the Monster |
scientific article; zbMATH DE number 1797481 |
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A new maximal subgroup of the Monster (English)
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8 September 2002
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The article answers a longstanding open question about the existence of maximal subgroups of shape \(L_2(29):2\) in the Monster sporadic simple group \(M\). Using their computer construction of \(M\), the authors can prove that \(M\) contains exactly one conjugacy class of subgroups isomorphic to \(L_2(29)\) and that each of those groups is contained in a maximal subgroup \(L_2(29):2\). The article gives a detailed description of their strategy of computation.
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sporadic simple groups
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maximal subgroups
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Monster
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