I don't know about efficient, but in the species code I use
libgap.RightTransveral(group, subgroup):
def structures(self, *labels):
labels = _label_sets(self.parent()._arity, labels)
n = tuple([len(U) for U in labels])
S = _SymmetricGroup(sum(n)).young_subgroup(n)
l = [e for l in labels for e in l]
if self._mc == n:
for rep in libgap.RightTransversal(S, self._dis):
yield tuple(S(rep)._act_on_list_on_position(l))
Does this help?
Martin
On Tuesday, 3 February 2026 at 14:25:12 UTC+1 [email protected]
wrote:
> Hi,
>
> I have a permutation group (a Weyl group in fact) and a subgroup given by
> explicit generators. I would like to iterate over representatives for the
> cosets of this group. Is there an efficient way to do this in Sage?
>
> I asked ChatGPT and it gave me all kinds of plausible looking commands,
> none of which actually existed...
>
> Thanks!
>
>
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