# Very important.

1. Sep 17, 2008

### hashimcom

very important........

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

2. Sep 17, 2008

### HallsofIvy

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?

3. Sep 18, 2008

### hashimcom

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

NOW, o(a) means order of element a
a is element in group G

4. Sep 18, 2008

### NoMoreExams

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

He asked for an equation relating all your things so you can possibly take the next step.

5. Sep 18, 2008

### HallsofIvy

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?

6. Sep 18, 2008

### hashimcom

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

for that question i have a hent which is (( write ab=a(ba)a^-1)))

7. Sep 18, 2008

### hashimcom

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

it means a^n=e where n is the least integer satsfy last equations

8. Sep 19, 2008

### NoMoreExams

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

Great now what does o(ab) mean in terms of what you just said?

9. Sep 20, 2008

### hashimcom

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

10. Sep 20, 2008

### NoMoreExams

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

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