GAP package Alnuth

Algebraic number theory and an interface to KANT

[WWW homepage]

Authors

Bjoern Assmann, Andreas Distler, Bettina Eick

Short Description

The Alnuth package provides various methods to compute with number fields which are given by a defining polynomial or by generators. Some of the methods provided in this package are written in GAP code. The other part of the methods is imported from the Computer Algebra System KANT. Hence this package contains some Gap functions and an interface to some functions in the computer algebra system KANT. The main methods included in this package are: creating a number field, computing its maximal order (using KANT), computing its unit group (using KANT) and a presentation of this unit group, computing the elements of a given norm of the number field (using KANT) and determining a presentation for a finitely generated multiplicative subgroup (using KANT).

Version

Current version number 2.2.5   (Released 10/07/2007)

Status

accepted    (communicated by Charles Wright (Eugene), accepted 01/2004)

Dependencies

GAP version: >= 4.3fix4
Needed other packages: polycyclic(>=1.1),
External needs: needs KANT/KASH Computer Algebra System Version 2.4 or 2.5

Online documentation

Alnuth: [ HTML] version   [ PDF] version  

Download

[README]    Alnuth-2.2.5[.zoo  (192K)]   [.tar.gz  (172K)]   [-win.zip  (196K)]   [.tar.bz2  (168K)]  

Contact

Bjoern Assmann
Address:
Mathematical Institute
University of St. Andrews
North Haugh
St. Andrews, Fife, KY16 9SS
Scotland, UK
WWW: http://www.dcs.st-and.ac.uk/~bjoern
E-mail: BjoernAssmann@gmx.net

Andreas Distler
Address:
Mathematical Institute
University of St. Andrews
North Haugh
St. Andrews, Fife, KY16 9SS
Scotland, UK
E-mail: a.distler@tu-bs.de

Bettina Eick
Address:
Institut Computational Mathematics
TU Braunschweig
Pockelsstr. 14
D-38106 Braunschweig
Germany
WWW: http://www.tu-bs.de/~beick
E-mail: b.eick@tu-bs.de