Hello,
I am having difficulty in converting cycles to the list of permutations.
gap> s := SymmetricGroup(6);
Sym( [ 1 .. 6 ] )
gap> ConjugacyClasses(s);
[ ()^G, (1,2)^G, (1,2)(3,4)^G, (1,2)(3,4)(5,6)^G, (1,2,3)^G, (1,2,3)(4,5)^G,
(1,2,3)(4,5,6)^G, (1,2,3,4)^G, (1,2,3,4)(5,6)^G, (1,2,3,4,5)^G,
(1,2,3,4,5,6)^G ]
gap> c := ConjugacyClass(s,(1,2,3)(4,5));
(1,2,3)(4,5)^G
gap> Size(c);
120
gap> for i in [1.. 120] do ListPerm(c);
> (Syntax Error !)
What I'd like to do is to get 120 list of permutations for above formatted like
[1, 3, 4, 5, 2, 6], [ 2,3, 4, 5, 6, 1],etc.
Any help will be highly appreciated.
Don
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