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Very important.

  1. Sep 17, 2008 #1
    very important........

    at any group G show
    i)o(ab) = o(ba)
    ii) o(a) = o(cac^-1) c in G

    please i want solving
     
  2. jcsd
  3. Sep 17, 2008 #2

    HallsofIvy

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    Re: very important........

    You need to first read the rules for this forum! What have you DONE on this problem? Where exactly did you get blocked?

    To start you off, what does "o(a)" MEAN? If you know that o(a)= n, what does that tell you about a? What equation can you write?
     
  4. Sep 18, 2008 #3
    Re: very important........

    NOW, o(a) means order of element a
    a is element in group G
     
  5. Sep 18, 2008 #4
    Re: very important........

    He asked for an equation relating all your things so you can possibly take the next step.
     
  6. Sep 18, 2008 #5

    HallsofIvy

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    Re: very important........

    No, that is just saying what that symbol means. What is the definition of "order of element a of group G". If I say that a, an element of group, G, has order n, what does that MEAN?
     
  7. Sep 18, 2008 #6
    Re: very important........

    for that question i have a hent which is (( write ab=a(ba)a^-1)))
     
  8. Sep 18, 2008 #7
    Re: very important........

    it means a^n=e where n is the least integer satsfy last equations
     
  9. Sep 19, 2008 #8
    Re: very important........

    Great now what does o(ab) mean in terms of what you just said?
     
  10. Sep 20, 2008 #9
    Re: very important........

    is means if its finite there exist an integer n s.t. ab^n =e
    but if else ; ther exest no integer s.t. ab^n =e

    now we can write ab = a(ba)a^-1
    then ...............compleate
     
  11. Sep 20, 2008 #10
    Re: very important........

    I thought it meant that (ab)^n = e
     
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