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Higher wild kernels and divisibility in the K-theory of number fields

The higher wild kernels are finite subgroups of the even K-groups of a number field F, generalizing Tate's wild kernel for K 2 . Each wild kernel contains the subgroup of divisible elements, as a subgroup of index at most two. We determine when they are equal, i.e., when the wild kernel is divi...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2006-07, Vol.206 (1), p.222-244
Main Author: Weibel, C.
Format: Article
Language:English
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Summary:The higher wild kernels are finite subgroups of the even K-groups of a number field F, generalizing Tate's wild kernel for K 2 . Each wild kernel contains the subgroup of divisible elements, as a subgroup of index at most two. We determine when they are equal, i.e., when the wild kernel is divisible in K-theory.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2005.03.018