Hi All

How do I prove the following:

Suppose that G is a group with elements a and b of orders p and q respectively, where p and q are distinct primes.

i) Show that <a> Intersect <b> = {e}, where e is identity element

ii)Suppose that for some intergers i and j, a^i = b^j. Show that p|i and q|j

Thanks again

The moolmiester returns