GAP 4 Package LAGUNA
Lie AlGebras and UNits of group Algebras

LAGUNA Mirrors

LAGUNA Description
The title "LAGUNA" stands for "Lie AlGebras and UNits of group Algebras". Since 2003 this is the new name of the GAP4 package LAG, which was replaced by LAGUNA.

LAGUNA extends the GAP functionality for calculations in group rings. Besides computing some general properties and attributes of group rings and their elements, LAGUNA is able to perform two main kinds of computations. Namely, it can verify whether a group algebra of a finite group satisfies certain Lie properties; and it can calculate the structure of the normalised unit group of a group algebra of a finite p-group over the field of p elements.
The current status of LAGUNA is "accepted" (communicated by Herbert Pahlings (Aachen), accepted in June 2003).
The latest version of the package is LAGUNA - 3.5.0 for GAP 4.4, released on 30 May 2009.

There is also a GAP package UnitLib that provides a library of normalized unit groups of modular group algebras of all p-groups or order not greater than 243 and can be used together with the LAGUNA package.
 
LAGUNA Authors
If you obtained LAGUNA, we would be grateful for a short notification sent to one of the authors.
LAGUNA Copyright
(C) 2003-2007 by Victor Bovdi, Alexander Konovalov, Richard Rossmanith, and Csaba Schneider

For use and distribution of this software, we adopt the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. For details, see the text of the license at FSF's own site http://www.gnu.org/licenses/gpl.html.
LAGUNA Documentation
LAGUNA documentation is a part of its distribution (see next section). To preview the documentation, select one of the following formats: The file PackageInfo.g with LAGUNA package meta-information used by GAP 4.4 package loading mechanism is located here.
LAGUNA Distribution
LAGUNA does not use external binaries and, therefore, works without restrictions on the type of the operation system. It is designed for GAP 4.4, and is not compatible with previous releases of GAP 4. To use LAGUNA online help it is necessary to install the GAP 4 package GAPDoc by Frank Luebeck and Max Neunhoeffer, which is available from the GAP site or from http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc/.

To download LAGUNA distribution, select one of the following files:
 Further instructions on LAGUNA 3.3.3 installation can be found in the file README.laguna here.
LAGUNA Bibliography
We maintain a list of references to the LAGUNA package (and its predecessor LAG package). It contains papers and software manuals where LAGUNA or LAG package was included into the bibliography or just mentioned in the text. We will appreciate your additions or corrections to this list sent to one of the LAGUNA authors.

If you publish a result that was partially obtained with the help of LAGUNA, please cite it in the following form:
[LAGUNA]
V. Bovdi, A. Konovalov, R. Rossmanith and C. Schneider. LAGUNA --- Lie AlGebras and UNits of group Algebras, Version 3.5.0; 2009 (http://www.cs.st-andrews.ac.uk/~alexk/laguna.htm).
LAGUNA Funding
On various stages the development of the LAGUNA package was supported by the following funding bodies:
  • London Mathematical Society
  • DAAD
  • OTKA grants no. T037202, T038059, K68383
  • Francqui Stichting grant ADSI107
We acknowledge with gratitude this support.
Last updated: 30 May 2009