On Sun, Dec 06, 2015 at 09:42:30AM +0330, Sara Yaftian wrote:
> I need to all partitions of the conjugacy classes of a finite group.
> GAP computes all partitions of {1,...,n}.
> How can I do that?I suppose you would like to get all partitions of the set of conjugacy classes. GAP has a command PartitionsSet that (almost) does this - it needs an extra parameter, the number of parts. So you can do the following: c:=Set(ConjugacyClasses(SymmetricGroup(5))); # or some other group [ ()^G, (1,2)^G, (1,2,3)^G, (1,2)(3,4)^G, (1,2,3,4)^G, (1,2,3)(4,5)^G, (1,2,3,4,5)^G ] l:=List([1..Length(c)], x->PartitionsSet(c,x));; This is already quite a big list: gap> List(l,Length); [ 1, 63, 301, 350, 140, 21, 1 ] Hope this helps, Dima _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
