The number of isomorphism classes of finite groups with the set of element orders of almost sporadic simple groups (Q1307040)
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scientific article; zbMATH DE number 1353542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of isomorphism classes of finite groups with the set of element orders of almost sporadic simple groups |
scientific article; zbMATH DE number 1353542 |
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The number of isomorphism classes of finite groups with the set of element orders of almost sporadic simple groups (English)
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9 March 2000
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For a finite group \(G\), denote by \(\pi_e(G)\) the set of element orders of \(G\) and by \(h(\pi_e(G))\) the number of isomorphism classes of groups \(H\) such that \(\pi_e(H)=\pi_e(G)\). The author proves that \(h(\pi_e(G))\in\{1,\infty\}\) if \(S\leq G\leq\Aut(S)\) where \(S\) is any sporadic simple group.
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sporadic simple groups
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element orders
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