Elements of Small Orders in K 2 F II

Abstract

In "Elements of small orders in K 2(F)" (Algebraic K-Theory, Lecture Notes in Math., 966, 1982, 1–6.), the author investigates elements of the form {a, Φn(a)} in the Milnor group K 2 F of a field F, where Φn(x) is the n-th cyclotomic polynomial. In this paper, these elements are generalized. Applying the explicit formulas of Rosset and Tate for the transfer homomorphism for K 2, the author proves some new results on elements of small orders in K 2 F.