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On elements of given order in \(K_ 2F\) - MaRDI portal

On elements of given order in \(K_ 2F\) (Q1115915)

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scientific article; zbMATH DE number 4087787
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On elements of given order in \(K_ 2F\)
scientific article; zbMATH DE number 4087787

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    On elements of given order in \(K_ 2F\) (English)
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    1988
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    The author introduces symbols with matrix entries in the Steinberg group of a ring. These symbols are used to detect torsion elements in the \(K_ 2\) of a field F. In particular, every element of odd prime order p in \(K_ 2F\), \(p\neq char(F)\), is a product of at most p-2 of these symbols. The results are based on papers of Suslin and of Rosset-Tate.
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    Steinberg group of a ring
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    torsion elements in the \(K_ 2\) of a field
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