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Products of involutions in simple Chevalley groups - MaRDI portal

Products of involutions in simple Chevalley groups (Q1841862)

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scientific article; zbMATH DE number 1565894
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Products of involutions in simple Chevalley groups
scientific article; zbMATH DE number 1565894

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    Products of involutions in simple Chevalley groups (English)
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    7 January 2002
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    Let \(G\) be a Chevalley group defined over a field \(K\). If \(K\) has enough elements, then every element of \(G\) is a product of five or fewer elements, and for the non-central elements, four involutions suffice. The monomial subgroup \(N\) of \(G\) is generated by involutions, provided that \(G\) is not of type \(C_r\) or \(B_2\).
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    products of involutions
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    Chevalley groups
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    monomial subgroups
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