The characterization of Ree groups \(^2F_4(q)\) by their element orders (Q1305071)
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scientific article; zbMATH DE number 1340609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The characterization of Ree groups \(^2F_4(q)\) by their element orders |
scientific article; zbMATH DE number 1340609 |
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The characterization of Ree groups \(^2F_4(q)\) by their element orders (English)
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13 December 1999
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For a finite group \(G\), denote by \(\pi_e(G)\) the set of element orders of \(G\). The authors prove that if \(\pi_e(G)=\pi_e(R)\), where \(R={^2F_4(2^{2m+1})}\), then \(G\) is isomorphic to \(R\).
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recognizable groups
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characterizable groups
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finite simple groups
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Ree groups
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element orders
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0.93751985
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0.89785266
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0.8856848
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0.88521695
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0.87975836
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