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- W2328004823 abstract "where Pn is the group of all n-roots of unity [4]. This homomorphism was studied by Moore [3], Carroll and Tate [4]. All the results about Wn we need are collected in [4]. In particular: 1) The group ker wn equals nK2(F); 2) nK2(F) is a divisible group; 3) nK2(F) has no i-torsion for any prime integer 1 different from the residue field characteristic. Hence wn is a split epimorphism and the group K2(F) is a direct sum of a cyclic group of order n and the divisible group nK2(F). In [4] Tate conjectured that nK2(F) has no torsion; i.e., this group is uniquely divisible. The present paper is devoted to the proof of this conjecture." @default.
- W2328004823 created "2016-06-24" @default.
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- W2328004823 date "1983-09-01" @default.
- W2328004823 modified "2023-09-26" @default.
- W2328004823 title "On the Torsion in K 2 of Local Fields" @default.
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- W2328004823 doi "https://doi.org/10.2307/2007033" @default.
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