4 papers
Chow groups of one-dimensional noetherian domains
Markus Kirschmer, Jürgen Klüners
We discuss various connections between ideal classes, divisors, Picard and Chow groups of one-dimensional noetherian domains. As a result of these, we give a method to compute Chow…
Computing subfields of number fields and applications to Galois group computations
Andreas-Stephan Elsenhans, Jürgen Klüners
A polynomial time algorithm to give a complete description of all subfields of a given number field was given in an article by van Hoeij et al. This article reports on a massive sp…
Are number fields determined by Artin L-Functions ?
Juergen Klueners, Florin Nicolae
Let be a number field, a finite Galois extension with Galois group , a faithful character of . We prove that the Artin L-function determines the Ga…
Computation of Galois groups of rational polynomials
Claus Fieker, Jürgen Klüners
Computational Galois theory, in particular the problem of computing the Galois group of a given polynomial is a very old problem. Currently, the best algorithmic solution is Staudu…