Hi. I'm quite new to Gap. I'd like to study the action of S_3 (symmetric group of order 3) and A_4 (alternate (?) group of order 4, i.e. the subgroup of S_4 composed of the pair permutations) on the subsets.
More precisely, I'd like to find, with elementary methods (no characters, no group representation) the ideals of the R[S_3] and R[A_4] algebras. Could someone be kind enough to show me how I could use Gap to find : - the tables of the two above groups, - the orbits of the action of these groups on their n-parts, with n between 1 and 6 for S_3, from 1 and 12 for A_4, - even better : the orbits of the action of these groups on their algebras ??? Any help would be very much appreciated. \bye PS : from what I've allready discovered, Gap seems very exciting ! -- Nicolas FRANCOIS | /\ http://nicolas.francois.free.fr | |__| X--/\\ We are the Micro$oft. _\_V Resistance is futile. You will be assimilated. darthvader penguin _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
