GAP 3 Data Library "Integral Matrix Groups"

Contents

The library contains Q-class representatives of all irreducible maximal finite integral matrix groups of dimension up to 24 and Z-class representatives of those among these groups which are of dimension at most 11 or of dimension 13, 17, 19, or 23.

Authors of the data listings

Wilhelm Plesken and Gabriele Nebe.

Author of the GAP implementation

Volkmar Felsch.

Source

Several papers by the authors which are quoted in the respective section of the GAP 3 reference manual.

GAP 3 Manual section

A manual of the Irreducible Maximal Finite Integral Matrix Groups Library is given as section 37.12 of the GAP 3 manual.

Corresponding GAP 4 data library

GAP 4 Data Library Integral Matrix Groups

In GAP 4 the library has been extended. Release 3 of GAP 4 contains Q-class representatives of all irreducible maximal finite integral matrix groups of dimension up to 31.

Contact addresses

Wilhelm Plesken
Lehrstuhl B für Mathematik
RWTH Aachen
Templergraben 64
52062 Aachen
Germany
email: plesken@math.rwth-aachen.de

Gabriele Nebe
Lehrstuhl D für Mathematik
RWTH Aachen
Templergraben 64
52062 Aachen
Germany
email: nebe@mathematik.uni-ulm.de