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    • CommentAuthordr
    • CommentTimeMay 23rd 2012 edited
     
    I wonder if this question is acceptable on MO.

    http://math.stackexchange.com/q/148710/2987
    • CommentAuthorAngelo
    • CommentTimeMay 23rd 2012
     
    David Speyer posted a counterexample to your conjecture.