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GAP Data Library "Integral Matrix Groups"

Contents

The library contains Q-class representatives of all irreducible maximal finite integral matrix groups of dimension up to 31 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, Bernd Souvignier, and Gabriele Nebe.

Author of the GAP implementation

Volkmar Felsch.

Source

Several papers by the authors which are quoted in the GAP reference manual section:

GAP Manual section

Irreducible Maximal Finite Integral Matrix Groups

Contact addresses

Wilhelm Plesken
Lehrstuhl B für Mathematik
RWTH Aachen
Pontdriesch 10-16
52062 Aachen
Germany
email: plesken@math.rwth-aachen.de

Gabriele Nebe
Lehrstuhl D für Mathematik
RWTH Aachen
Pontdriesch 14-16
52062 Aachen
Germany
email: nebe@mathematik.uni-ulm.de