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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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Published in: | Journal of pure and applied algebra 2006-07, Vol.206 (1), p.222-244 |
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Main Author: | |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0022-4049 1873-1376 |
DOI: | 10.1016/j.jpaa.2005.03.018 |