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Math Help - permutations

  1. #1
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    permutations

    consider the permutations in S7, what are the orders of these permutations!?

    a. (3,1). (4,1). (5,1). (7,1)

    b. (2,3,4,5). (1,2,5,7)

    i understand the cycles have to be disjoint but i dont which end to work from to produce disjoint cycles, especially in a.
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  2. #2
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    Quote Originally Posted by linearalgebradunce View Post
    a. (3,1). (4,1). (5,1). (7,1)
    As a product of disjoint cycles we get, (17543) and this has order 5.

    b. (2,3,4,5). (1,2,5,7)
    As a product of disjoint cycles we get, (13457) and this has order 5.
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