On the computation of unit groups and class groups of totally real quartic fields-Reference-Cited by-同舟云学术

On the computation of unit groups and class groups of totally real quartic fields

Published:1989 Issue:187 Volume:53 Page:387-397
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Buchmann J.,Pohst M.,von Schmettow J.

Abstract

In this paper we describe the computation of a system of fundamental units and of the class group for each totally real quartic field F \mathcal {F} of discriminant less than 10 6 {10^6} . Generating equations, integral bases, and the Galois groups for all those fields were recently given by Buchmann and Ford.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1989-53-187/S0025-5718-1989-0970698-1/S0025-5718-1989-0970698-1.pdf

Reference12 articles.

1. On the computation of units and class numbers by a generalization of Lagrange’s algorithm;Buchmann, Johannes;J. Number Theory,1987

2. On the period length of the generalized Lagrange algorithm;Buchmann, Johannes;J. Number Theory,1987

3. On the computation of totally real quartic fields of small discriminant;Buchmann, Johannes;Math. Comp.,1989

4. Class groups of number fields: numerical heuristics;Cohen, H.;Math. Comp.,1987

5. Hermite normal form computation using modulo determinant arithmetic;Domich, P. D.;Math. Oper. Res.,1987

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