Re: group problem

Hello,

Li Yi wrote:

Let G be an abelian group and suppose that G has elements of orders
m and n, respectively. Prove that G has an element whose order is
the least common mutiple of m and n.

Don't you need an additional assumption that <a> \cap <b> = {1}? I don't see how to proceed without that extra condition...

With regards,

Pawel Gladki
.