Elements of Finite Order in K 2 of Fields

秦厚荣 · Chinese Science Bulletin · 1994

1 Introduction It is important to investigate the elements of finite order in K_2 of fields. J.Tate shows that if a global field F contains ξ_n, a primitive nth root of l, then everyelement of order n in K_2F is of the form {ξ_n,b} for some b∈F. Let Φ_n.(x) be thenth cycltomic polynomial. For elements of small order in K_2F,J. Browkin givesthe following results:

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