GAP 3 Share Package "meataxe"

Share package since release 3.3, about September 1993.
This package has not been transferred to GAP 4. While in GAP 4 there is no direct C-meataxe interface, GAP 4 has a proper Meataxe implementation in its kernel.

Authors

Klaus Lux and Michael Ringe.

Implementation

Language: C
Operating system: Unix
Current version: 2.2.3

Description

The C-MeatAxe, written by M. Ringe, is a collection of C-programs for working with matrices over finite fields. The collection includes programs for basic operations on matrices like multiplying and adding matrices, calculating nullspace of a matrix and more sophisticated programs, which for example determine the composition factors, the socle series and the lattice of submodules for a matrix representation of an algebra.

The C-MeatAxe includes a C-library of functions, which deal with the elementary arithmetic of matrices and vectors of fields. These functions use a table lookup in order to get an optimal performance.

Furthermore, the ASCII input format for matrices is compatible with the ATLAS of finite group representations developed by R.A. Wilson and can hence be used to work with the representation given in the library.

Manual

A MeatAxe manual is given in chapter 68 of the GAP 3 manual.

Contact address

Klaus Lux
Department of Mathematics
The University of Arizona
617 N. Santa Rita Ave., P.O. Box 210089
Tucson, AZ, 857210089
USA
email: Klaus.Lux@math.rwth-aachen.de