Abstract
The natural analog of the property (x, 1 − x)=1, x ≠ 0,1 of the multiplicative Hilbert symbol is considered for Hilbert pairing in Lubin-Tate formal groups; in this paper the property is called the fundamental norm property. Criteria are given for satisfaction of the fundamental norm property in Lubin-Tate formal groups, and ϕ-symbols generalizing this property are described. A new approach to constructing formal Lubin-Tate groups is presented.
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Literature cited
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 175, pp. 30–45, 1989.
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Vostokov, S.V. Norm property of Hilbert pairing. J Math Sci 57, 3462–3473 (1991). https://doi.org/10.1007/BF01100114
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DOI: https://doi.org/10.1007/BF01100114