hw9 - MAT 312/AMS 351 Fall 2010 Homework 9 1. Calculate the...

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MAT 312/AMS 351 – Fall 2010 Homework 9 1. Calculate the order of the permutation π = p 1 2 3 4 5 6 7 8 4 6 1 8 2 5 7 3 P . Hint: write it Frst in cycle notation. 2. Same question for π = p 1 2 3 4 5 6 7 8 4 1 5 7 6 3 8 2 P . 3. Give a conjugacy σ relating π 1 = (1547)(263) to π 2 = (123)(4567), so that π 2 = σπ 1 σ - 1 . Check that it works. 4. Prove that two conjugate permutations have the same order. 5. Break up S(5) into conjugacy classes (following our work in class with
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This note was uploaded on 12/19/2010 for the course AMS 351 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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