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Help abstract algebra

  1. Sep 23, 2007 #1
    1)
    find a group that contains elements a and b such that ︱a︱=︱b︱= 2 and

    a) ︱ab︱ = 3 b) ︱ab︱=4 c) ︱ab︱=5

    2)
    suppose that H is a proper subgroup of Z under addition and H contains 18, 30 and 40.
    determine H?


    does anyone can help me out?
    and ...i am really in hurry...thanks...

    besides...i need all the steps...
     
  2. jcsd
  3. Sep 23, 2007 #2
    can somebody help me out?

    especially the second question....
     
  4. Sep 23, 2007 #3

    Hurkyl

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    What have you tried? Have you had any thoughts at all on these problems?
     
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