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Math Help - iisomorphic

  1. #1
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    iisomorphic

    I have an example of 2sylow subgroup of S6.
    I want to prove that this subgroup isomorphous to Z2XD4
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  2. #2
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    Quote Originally Posted by rtrt1 View Post
    I have an example of 2sylow subgroup of S6.
    I want to prove that this subgroup isomorphous to Z2XD4

    The Sylow 2-sbgps. of S_4 are easily seen to be isomorphic with D_4 ; if now you observe that in S_6 you have two numbers more as part of the permutations that don't appear in S_4 then you're easily done.

    Tonio
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