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Alex Rivera
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I am afraid the question is a bit technical, but I hope someone might have stumbled into a similar subject, or give me a pointer of some kind. If G is a group (in the sense of algebraic structure), and if g 1 , ..., g n are elements of G, is there an algorithm (or a function in some dedicated program, like GAP) to determine whether there is a subgroup of G such that those elements form a set of representatives for the cosets of the subgroup? (We may assume that G is a permutation group, and probably even the full symmetric group.) (There are of course several algorithms to find the cosets of a given subgroups, like Todd-Coxeter algorithm; this is a kind of inverse question.) Thanks, Daniele
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