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 {\ASI K}-theory of number fields.
Publié le : 2005-05-14
Classification:
K-theory,
wild kernel,
logarithmic class group,
computation,
11Y40,
11R70
@article{1120145571,
author = {Diaz y Diaz, Francisco and Jaulent, Jean-Francois and Pauli, Sebastian and Pohst, Michael and Soriano-Gafiuk, Florence},
title = {A New Algorithm for the Computation of Logarithmic $\ell$-Class Groups of Number Fields},
journal = {Experiment. Math.},
volume = {14},
number = {1},
year = {2005},
pages = { 65-74},
language = {en},
url = {http://dml.mathdoc.fr/item/1120145571}
}
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. Experiment. Math., Tome 14 (2005) no. 1, pp. 65-74. http://gdmltest.u-ga.fr/item/1120145571/