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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Originally Posted by chipai 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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