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 ϕ-symbols generalizing this property are described. A new approach to constructing formal Lubin-Tate groups is presented.
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