The MeatAxe - Computing with Modular Representations. The MeatAxe is a set of programs for working with matrices over finite fields. Its primary purpose is the calculation of modular character tables, although it can be used for other purposes, such as investigating subgroup structure, module structure etc. Indeed, there is a set of programs (see The Lattice Programs) to compute automatically the submodule lattice of a given module. Each of the programs is self-contained, reading its input from files, and writing its output to files. To make the MeatAxe usable, therefore, it is necessary to write operating system commands to run the various programs. This documentation is primarily for the programs, and further documentation is necessary for the various implementations in differing operating environments. The primitive objects are of two types: matrices and permutations. Permutation objects can be handled, but not as smoothly as you might expect. For example, it is hoped that programs such as split (zsp) and multiply (zmu) will be able to work with mixed types, but at present ZSP is restricted to matrices only, and ZMU can multiply a matrix by a permutation, but not vice versa.
Keywords for this software
References in zbMATH (referenced in 48 articles , 1 standard article )
Showing results 41 to 48 of 48.
- Henke, Anne; Hiss, Gerhard; Müller, Jürgen: The (7)-modular decomposition matrices of the sporadic O’Nan group (1999)
- Müller, Jürgen; Rosenboom, Jens: Condensation of induced representations and an application: The (2)-modular decomposition numbers of (Co_2) (1999)
- Holt, Derek F.: The Meataxe as a tool in computational group theory (1998)
- Cooperman, Gene; Hiss, Gerhard; Lux, Klaus; Müller, Jürgen: The Brauer tree of the principal (19)-block of the sporadic simple Thompson group. (1997)
- Jansen, Christoph; Müller, Jürgen: The (3)-modular decomposition numbers of the sporadic simple Suzuki group (1997)
- Müller, Jürgen: Decomposition numbers for generic Iwahori-Hecke algebras of noncrystallographic type (1997)
- Murray, Scott H.; O’Brien, E. A.: Selecting base points for the Schreier-Sims algorithm for matrix groups (1995)
- Lux, Klaus; Müller, Jürgen; Ringe, Michael: Peakword condensation and submodule lattices: An application of the Meat- Axe (1994)
Further publications can be found at: http://www.math.rwth-aachen.de/~MTX/doc24/index.html