Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. (English) Zbl 1148.11060 Exp. Math. 14, No. 1, 65-74 (2005). 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. Cited in 1 ReviewCited in 6 Documents MSC: 11Y40 Algebraic number theory computations 11R70 \(K\)-theory of global fields 11R29 Class numbers, class groups, discriminants Keywords:\(K\)-theory; wild kernel; logarithmic class group; computation PDFBibTeX XMLCite \textit{F. Diaz y Diaz} et al., Exp. Math. 14, No. 1, 65--74 (2005; Zbl 1148.11060) Full Text: DOI arXiv Euclid EuDML