Minimal factorisations of groups can be used in cryptography. It is not yet known if one exists for each finite group, although it has been shown that a minimal counterexample of a group without one must be simple. We prove existence of minimal factorisations for some sporadic groups.
@article{1109106435,
author = {Holmes, P. E.},
title = {On Minimal Factorisations of Sporadic Groups},
journal = {Experiment. Math.},
volume = {13},
number = {1},
year = {2004},
pages = { 435-440},
language = {en},
url = {http://dml.mathdoc.fr/item/1109106435}
}
Holmes, P. E. On Minimal Factorisations of Sporadic Groups. Experiment. Math., Tome 13 (2004) no. 1, pp. 435-440. http://gdmltest.u-ga.fr/item/1109106435/