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Answer by Jaap Scherphuis for Information on permutation subgroups -...
This is the generalized masterball puzzle.Consider the following move sequence (using left to right notation):$$f_1 r_1 f_1 r_1^{-1}\ \ r_2 f_1 r_2^{-1} f_1$$Call this move sequence $D$. It looks like...
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Information on permutation subgroups - symmetries of "Globe" like puzzle.
Consider series of subgroups denoted "Globe A/B" (A,B - integer positive parameters of group) of permutations group $S_{2(A+1)B}$, which are defined below.They are somewhat similar to symmetries groups...
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