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Journal of the London Mathematical Society 1978 s2-18(1):14; doi:10.1112/jlms/s2-18.1.14-s
© 1978 by London Mathematical Society
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© Oxford University Press

A Transfer Map in K-Theory

M. E. Keating

Imperial College London S.W.7

Received 11 January 1978.

Abstract

I am grateful to Keith Dennis for pointing out that the proof of Proposition 1 is fallacious. A correct argument is as follows.

Let {theta} be the maximal order of the maximal unramified subfield ofD. Then both {theta} and D have residue class field d, and the following triangle of functors is commutative up to a natural equivalence:

Therefore, there is a commuting triangle of homomorphisms

The Proposition follows since the diagonal map is surjective by Gersten's result.


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