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Howdy, I was just wondering if there is a proper way of solving the following problem in mathematica. I can do it out with paper and pen, but is there some function, or set of functions that I should use instead in mathematica ? Let a, b be the permutations of N (subscript 6) whose representations in cycle notation are : a = (1 2 3 4 5 6), b = (1 4)(2 6)(3 5) a) Work out the cycle notations for ab, ba, a^6, b^2, a^-1, b^-1 ab b) Use a ferrers diagram to illustrate the types of a and b^-1 ab. What do you notice ?