# divisible group + monomorphism

• March 23rd 2011, 06:38 AM
alper82
divisible group + monomorphism
Prove that, If a divisible group D has a nonzero and infinite order element then there exist a monomorphism f:Q--->D .

plese help me for this question. Thanks.
• March 23rd 2011, 11:11 AM
alper82
any proof?
• March 23rd 2011, 12:39 PM
Drexel28
Quote:

Originally Posted by alper82
Prove that, If a divisible group D has a nonzero and infinite order element then there exist a monomorphism f:Q--->D .

plese help me for this question. Thanks.

For every $m\in\mathbb{Z}$ and $n\in\mathbb{N}$ there exists some $y\in G$ if $ny=g^m$ where $|g|=\infty$...
• October 6th 2011, 11:47 PM
alper82
Re: divisible group + monomorphism
• October 7th 2011, 12:37 AM
Swlabr
Re: divisible group + monomorphism
Quote:

Originally Posted by alper82