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Topic: Free group on m generators elementary extension of the free group on n generators (n < m)?
Replies: 11   Last Post: Jul 15, 2013 1:13 PM

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Butch Malahide

Posts: 894
Registered: 6/29/05
Re: Free group on m generators elementary extension of the free group
on n generators (n < m)?

Posted: Jul 14, 2013 3:42 AM
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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.



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