Recognition by spectrum for finite simple groups of Lie type. (Q942953)
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scientific article; zbMATH DE number 5322573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recognition by spectrum for finite simple groups of Lie type. |
scientific article; zbMATH DE number 5322573 |
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Recognition by spectrum for finite simple groups of Lie type. (English)
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8 September 2008
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Let \(G\) be a finite group. The set of element orders in \(G\) is denoted by \(\omega(G)\) and is called the spectrum of \(G\). The number of non-isomorphic groups with the same spectrum is denoted by \(h(G)\). If \(h(G)=1\), then the group \(G\) is said to be recognizable by spectrum. In this survey article the authors review recent results on the recognition property of groups.
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finite simple groups
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spectra
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prime graphs
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recognition problem
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recognizable groups
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sets of element orders
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