Recent content by Dedrosnute

  1. D

    Prove that a group of order 34 with no more than 33 automorphisms is cyclic

    Ok, I think I got it. Let G be a group generated by x of order 2 and y of order 17. Let Ic be the inner automorphism defined by Ic(a) = cac^-1, for some c in G, all a in G. Let Id be the inner automorphism defined by Id(a) = dad^-1, for some d in G, all a in G. Then cac^-1 = dad^-1 ==>...
  2. D

    Prove that a group of order 34 with no more than 33 automorphisms is cyclic

    Ok, this seems to be coming together. Let G be a group generated by x of order 2 and y of order 17. Let Ic be the inner automorphism defined by Ic(a) = cac^-1, for some c in G, all a in G. Let Id be the inner automorphism defined by Id(a) = dad^-1, for some d in G, all a in G. Then...
  3. D

    Prove that a group of order 34 with no more than 33 automorphisms is cyclic

    Homework Statement I need to show that for a group G of order 34 that if the order of the automorphism group is less than or equal to to 33, then G is cyclic. Homework Equations none The Attempt at a Solution I'm mainly trying to do a proof by contradiction. First I assumed that G...