A new Algorithm for the Computation of logarithmic l-Class Groups of Number Fields

TL;DR

This paper introduces a novel algorithm for computing logarithmic l-class groups of number fields, aiding in understanding the l-rank of the wild kernel in algebraic K-theory.

Contribution

The paper presents a new algorithm specifically designed for calculating logarithmic l-class groups, advancing computational methods in algebraic number theory.

Findings

Algorithm effectively computes logarithmic l-class groups

Enables determination of the l-rank of the wild kernel

Improves computational efficiency in algebraic K-theory

Abstract

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.