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Thread: Z2 + Z2 + Z3 isomorphisms

  1. December 2nd 2008, 04:11 PM #1
    morganfor
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    Z2 + Z2 + Z3 isomorphisms

    Is (Z2 + Z2) + Z3 (the external direct product) isomorphic to Z12?
    thanks!
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  2. December 2nd 2008, 06:34 PM #2
    ThePerfectHacker
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    Quote Originally Posted by morganfor View Post
    Is (Z2 + Z2) + Z3 (the external direct product) isomorphic to Z12?
    thanks!
    The group Z2 + Z2 + Z3 is not cyclic, all elements have order dividing 6.
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