Date: Jul 14, 2013 3:42 AM Author: Butch Malahide Subject: Re: Free group on m generators elementary extension of the free group<br> on n generators (n < m)? On Tuesday, July 9, 2013 5:39:00 AM UTC-5, Sandy wrote:

> For n, m natural numbers, n < m, let G be the free group on n generators and H the free group on m generators. Is H an elementary extension of G?

I guess you meant to say that n > 1.