MeatAxe
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 21 to 40 of 48.
Sorted by year (- Müller, Jürgen: On the multiplicity-free actions of the sporadic simple groups. (2008)
- Müller, Jürgen; Schaps, Mary: The Broué conjecture for the faithful 3-blocks of 4.(M_22). (2008)
- Lux, Klaus M.; Szőke, Magdolna: Computing decompositions of modules over finite-dimensional algebras. (2007)
- Robinson, Eric; Müller, Jürgen; Cooperman, Gene: A disk-based parallel implementation for direct condensation of large permutation modules. (2007)
- Ryba, Alexander J. E.: Identification of matrix generators of a Chevalley group. (2007)
- Bäärnhielm, Henrik: Recognising the Suzuki groups in their natural representations. (2006)
- Carlson, Jon F.; Matthews, Graham: Generators and relations for matrix algebras. (2006)
- Conder, M. D. E.; Leedham-Green, C. R.; O’Brien, E. A.: Constructive recognition of (\textPSL(2,q)). (2006)
- Glasby, S. P.: The \textscMeat-\textscaxeand (f)-cyclic matrices (2006)
- Glasby, S. P.: Modules induced from a normal subgroup of prime index (2004)
- Eick, B.; Höfling, B.: The solvable primitive permutation groups of degree at most 6560. (2003)
- Green, David J.: Gröbner bases and the computation of group cohomology. (2003)
- Holmes, Petra E.; Wilson, Robert A.: A new computer construction of the Monster using 2-local subgroups. (2003)
- Lux, Klaus M.; Szőke, Magdolna: Computing homomorphism spaces between modules over finite dimensional algebras. (2003)
- Müller, Jürgen; Neunhöffer, Max; Röhr, Frank; Wilson, Robert: Completing the Brauer trees for the sporadic simple Lyons group (2002)
- Lübeck, Frank; Neunhöffer, Max: Enumerating large orbits and direct condensation. (2001)
- Lux, Klaus; Wiegelmann, Markus: Determination of socle series using the condensation method (2001)
- Weller, Michael: Construction of large permutation representations for matrix groups. II (2001)
- Ivanyos, Gábor; Lux, Klaus: Treating the exceptional cases of the MeatAxe (2000)
- Müller, Jürgen: The 2-modular decomposition matrices of the symmetric groups (S_15), (S_16), and (S_17) (2000)
Further publications can be found at: http://www.math.rwth-aachen.de/~MTX/doc24/index.html