Hi all,
I have realized a problem with the computation of intersections of
sets. A minimal example reproducing the problem is the following:
sage: G = AlternatingGroup(5);
sage: g = (1,2,3);
sage: cl = Set([x*G(g)*x^(-1) for x in G])
sage: A = Set(G.centralizer(G(g)));
sage: A, A.intersection(Set(cl))
({(1,2,3), (1,3,2), ()}, {})
G is the alternating group A(5), g the 3-cycle (1,2,3), cl is the
conjugacy class of g inside G (which consists on all 3-cycles), and A
is the centralizer of g in G. According to SAGE,
A = {(1,2,3), (1,3,2), ()}
so the intersection of A with cl should be {(1,2,3), (1,3,2)}, but
when trying to compute the intersection the output is the empty set {}
Am I doing something wrong here?
Cheers
Javier
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