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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 ?