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| Elements of Small Orders in K2F II |
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Citation： |
Jerzy BROWKIN.Elements of Small Orders in K2F II[J].Chinese Annals of Mathematics B,2007,28(5):507~520 |
| Page view： 1201
Net amount： 867 |
Authors： |
Jerzy BROWKIN; |
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| Abstract： |
In ``Elements of small orders in $K_2(F)$" (Algebraic $K$-Theory, Lecture Notes in Math., {\bf 966}, 1982, 1--6.), the author investigates elements of the form $\{a,\ \Phi_n(a)\}$ in the Milnor group $K_2F$ of a field $F,$ where $\Phi_n(x)$ 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 $K_2F.$ |
Keywords： |
Cyclotomic elements in $K_2F$, Transfer in $K$-theory, Milnor group |
Classification： |
11R70, 19F15 |
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