| 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  -symbols generalizing this property are described. A new approach to constructing formal Lubin-Tate groups is presented.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 175, pp. 30–45, 1989. |
