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On the group generated by symbols in \(K_ 2O_ F\) for real quadratic fields \(F\) - MaRDI portal

On the group generated by symbols in \(K_ 2O_ F\) for real quadratic fields \(F\) (Q796575)

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scientific article; zbMATH DE number 3865427
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English
On the group generated by symbols in \(K_ 2O_ F\) for real quadratic fields \(F\)
scientific article; zbMATH DE number 3865427

    Statements

    On the group generated by symbols in \(K_ 2O_ F\) for real quadratic fields \(F\) (English)
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    1984
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    Let \({\mathcal O}\) be the ring of integers of a real quadratic field. It is known that the subgroup of \(K_ 2 {\mathcal O}\) generated by symbols has order 2 or 4. The authors determine the conditions under which the order is 2.
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    Milnor group
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    ring of integers
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    real quadratic field
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    \(K_ 2\)
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    symbols
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