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An explicit formula of the Hilbert pairing for Honda formal groups. (English. Russian original) Zbl 1101.14323

J. Math. Sci., New York 116, No. 1, 2926-2952 (2003); translation from Zap. Nauchn. Semin. POMI 272, 86-128 (2000).
Summary: In the present paper, we give an explicit formula for the Hilbert symbol in the case of Honda formal groups. The proof uses the Shafarevich basis and the relationship between the Lubin-Tate formal groups and Honda formal groups.

MSC:

14L05 Formal groups, \(p\)-divisible groups
11S31 Class field theory; \(p\)-adic formal groups
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