A semi-presentation for a group $G$ is a set of relations which characterises a set of generators of $G$ up to automorphism. We discuss some techniques for finding semi-presentations and illustrate them by exhibiting semi-presentations on standard generators for the $26$ sporadic simple groups and their automorphism groups. We then show how these semi-presentations were used to check the data in the World Wide Web Atlas of Group
Representations.
Publié le : 2005-05-14
Classification:
Sporadic simple groups,
standard generators,
black box algorithms,
20D08,
20F05
@article{1128371760,
author = {Nickerson, S. J. and Wilson, R. A.},
title = {Semi-presentations for the sporadic simple groups},
journal = {Experiment. Math.},
volume = {14},
number = {1},
year = {2005},
pages = { 359-371},
language = {en},
url = {http://dml.mathdoc.fr/item/1128371760}
}
Nickerson, S. J.; Wilson, R. A. Semi-presentations for the sporadic simple groups. Experiment. Math., Tome 14 (2005) no. 1, pp. 359-371. http://gdmltest.u-ga.fr/item/1128371760/