The characterization of \(\text{PSL}(2,q)\) by its element orders (Q5967057)
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scientific article; zbMATH DE number 589832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The characterization of \(\text{PSL}(2,q)\) by its element orders |
scientific article; zbMATH DE number 589832 |
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The characterization of \(\text{PSL}(2,q)\) by its element orders (English)
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7 July 1994
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The authors announce the following theorem: Let \(G\) be a finite group and let \(q > 3\) be a prime power, \(q \neq 9\). If \(\pi_ e (G) = \pi_ e(\text{PSL}(2,q))\), then \(G\) is isomorphic to \(\text{PSL}(2,q)\), where \(\pi_ e(G)\) denotes the set of all orders of elements of a group \(G\).
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finite groups
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\(\text{PSL}(2,q)\)
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orders of elements
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