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Math Help - Symmetry groups are indecomposible

  1. #1
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    Symmetry groups are indecomposible

    Show that symmetry group of n letters is indecomposible where n>2.

    The definition of decomposible is "If G is decomposible group, G can be written as internal direct product of two nontrivial subgroups of G".

    thanks!!!
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  2. #2
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    Quote Originally Posted by chipai View Post
    Show that symmetry group of n letters is indecomposible where n>2.

    The definition of decomposible is "If G is decomposible group, G can be written as internal direct product of two nontrivial subgroups of G".

    thanks!!!
    For n=3,4 show directly, and for n > 4 remember that S_n has ONLY one non-trivial normal sbgp., namely A_n...

    Tonio
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