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A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. (English) Zbl 1148.11060

Summary: We present an algorithm for the computation of logarithmic \(\l\)-class groups of number fields. Our principal motivation is the effective determination of the \(\l\)-rank of the wild kernel in the \(K\)-theory of number fields.

MSC:

11Y40 Algebraic number theory computations
11R70 \(K\)-theory of global fields
11R29 Class numbers, class groups, discriminants
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