Abstract
For the Hilbert Symbol on the group of points of a Lubin-Tate formal group there is found a modification of the explicit formulas that covers both the cases of an even and an odd prime p.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Thompson, Washington, D. C. (1967).
S. V. Vostokov, “An explicit form of the reciprocity law,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 6, 1288–1321 (1978).
S. V. Vostokov, “The reciprocity law of an algebraic number field,” Tr. Mat. Inst. Akad. Nauk SSSR,148, 77–81 (1978).
S. V. Vostokov, “A norm pairing in formal modules,” Izv. Akad. Nauk SSSR, Ser. Mat.,43, No. 4, 765–794 (1979).
S. V. Vostikov, “The Hilbert symbol in a discrete valuated field,” J. Sov. Math.,19, No. 1 (1982).
S. V. Vostokov and V. A. Letsko, “A canonical decomposition in the group of points of a Lubin-Tate formal group,” J. Sov. Math.,24, No. 4 (1984).
S. V. Vostokov, “Symbols on formal groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 5, 985–1014 (1981).
H. Brückner, Hilbertsymbole zum Exponenten pn und Pfaffische Formen, Hamburg (1979).
A. Fröhlich, Formal Groups, Lecture Notes in Mathematics, Vol. 79, Springer-Verlag (1968).
S. Lang, Cyclotomic Fields, New York (1978).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 77–95, 1982.
Rights and permissions
About this article
Cite this article
Vostokov, S.V. The Hilbert symbol for Lubin-Tate formal groups. I. J Math Sci 27, 2885–2901 (1984). https://doi.org/10.1007/BF01410742
Issue Date:
DOI: https://doi.org/10.1007/BF01410742