Two-element generation of Chevalley groups of \(E\) types (Q2748840)
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scientific article; zbMATH DE number 1663462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-element generation of Chevalley groups of \(E\) types |
scientific article; zbMATH DE number 1663462 |
Statements
9 April 2002
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Chevalley groups
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root systems
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two-element generation
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0.9027388
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0.88147914
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0.8793632
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0.87895715
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0.8754486
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0.8739021
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Two-element generation of Chevalley groups of \(E\) types (English)
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Let \(F\) be a finite field of characteristic different from 2, and \(\Phi\) a root system of type \(E_6\), \(E_7\), or \(E_8\). The author proves that the Chevalley group \(G(\Phi,F)\) can be generated by two elements.
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