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Math Help - Please Help! GROUPS!

  1. #1
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    Post Please Help! GROUPS!

    Q1) Find the order of the element (1 2) (3 4 5) in S5?

    Q2) Prove that every group of ever order has an element of order 2.


    Thanks in advance!
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  2. #2
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    Quote Originally Posted by Vedicmaths View Post
    Q1) Find the order of the element (1 2) (3 4 5) in S5?

    Q2) Prove that every group of ever order has an element of order 2.
    For (12)(345) just note it is a product of disjoint cycles so the order is the lcm of the length of the cycles. For the second one: that is just an application of Cauchy's theorem.
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