The Eisenstein reciprocity law for formal Lubin–Tate groups

S. V. Vostokov, M. A. Ivanov

Research output: Contribution to journalArticlepeer-review

Abstract

A generalized norm residue symbol on Lubin–Tate formal groups is studied. The triviality of this symbol in the case where the first argument belongs to the definition field of the formal group is investigated. Explicit formulas for the generalized norm residue symbol ( , ) F,n are used. To this end, a restriction on the expansion of the first argument in powers of a uniformizer is removed. Bibliography: 6 titles.
Original languageUndefined
Pages (from-to)269-277
JournalJournal of Mathematical Sciences
Volume180
Issue number3
StatePublished - 2012

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