Some computations regarding Foulkes' conjecture
Müller, Jurgen ; Neunhöffer, Max
Experiment. Math., Tome 14 (2005) no. 1, p. 277-283 / Harvested from Project Euclid
We describe how certain permutation actions of large symmetric groups can be efficiently implemented on a computer. Using a specially tailored adaptation of a general technique to enumerate huge orbits and substantial distributed computation on a cluster of workstations, we collect further evidence related to the approach to Foulkes' conjecture suggested in “A Note on Plethysm,” by S. C. Black and R. J. List.
Publié le : 2005-05-14
Classification:  Foulkes' conjecture,  symmetric group,  representations of symmetric groups,  plythysm,  wreath product,  05E10,  20C30,  20C40
@article{1128371753,
     author = {M\"uller, Jurgen and Neunh\"offer, Max},
     title = {Some computations regarding Foulkes' conjecture},
     journal = {Experiment. Math.},
     volume = {14},
     number = {1},
     year = {2005},
     pages = { 277-283},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128371753}
}
Müller, Jurgen; Neunhöffer, Max. Some computations regarding Foulkes' conjecture. Experiment. Math., Tome 14 (2005) no. 1, pp.  277-283. http://gdmltest.u-ga.fr/item/1128371753/