Permutations

*To*: mathgroup at smc.vnet.net*Subject*: [mg28715] Permutations*From*: "Jamie P" <locutu at mindless.com>*Date*: Thu, 10 May 2001 07:55:00 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

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 ?