(a) Let S be a set of configurations and G a group of permutations that acts on S. If x ˆˆ S, prove that {Ï€ ˆˆ G|Ï€*(x) = x] is a subgroup of G (called the stabilizer of x).
(b) Determine the respective stabilizer subgroups in part (a) for each of the configurations C7 and C15 in Fig. 16.5.

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с. ce(1) (2) 6 10 ce (3) ce(4) 12 13 15 16 СЕ(5) ce(6)