Abstract
For a two-dimensional local field containing the group of roots of orderm of 1, an explicit construction is given for the Hilbert symbol of exponentm, which is utilized for the construction of a local class field theory for such fields.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 132, pp. 76–84, 1983.
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Vostokov, S.V., Kirillov, A.N. Normed pairing in a two-dimensional local field. J Math Sci 30, 1847–1853 (1985). https://doi.org/10.1007/BF02105099
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DOI: https://doi.org/10.1007/BF02105099