Dear Gap Forum,
I am looking for an algorithm(s) that would enumerate
a permutation group (from a set of genrators) such
that each element of the
group is represented as a product of the disjoint permutations
(which would be from the set of the generators).
That is if each element pi of the group G is represented as
pi = g1*g2* ... gr ,
(where r is clearly a polynomial in the degree of the group),
then g1,g2, .. gr are mutually disjoint.
Here the size of set of generators could be a polynomial in r.
Clearly, it is not important whether the generators are strong are not.
Hope to receive some references in this direction.
Thanking you all.
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