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.
|Journal||Journal of Mathematical Sciences|
|State||Published - 2012|