Bogomolov, R. A. Two theorems on divisibility and torsion in Milnor K-groups. (Russian) Zbl 0611.18006 Mat. Sb., N. Ser. 130(172), No. 3(7), 404-412 (1986). The first result is about p-divisibility of Milnor’s K-groups \(K_ n(F)\) for a field F under certain conditions. The second one gives an isomorphism of \(K_ n(F)\), where \(F=k((X))\), with \(D_ n(F)\oplus K_ n(k)\oplus K_{n-1}(k)\), where \(D_ n(F)\) is uniquely p-divisible for any prime p coprime to char(k). Reviewer: L.Vaserstein Cited in 1 Review MSC: 18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Keywords:stability for higher K-theory; p-divisibility; Milnor’s K-groups PDFBibTeX XMLCite \textit{R. A. Bogomolov}, Mat. Sb., Nov. Ser. 130(172), No. 3(7), 404--412 (1986; Zbl 0611.18006) Full Text: EuDML