# Math Help - divisible group + monomorphism

1. ## 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.

2. any proof?

3. 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 $|g|=\infty$...

4. ## Re: divisible group + monomorphism

Any idea please?

5. ## Re: divisible group + monomorphism

Originally Posted by alper82
Any idea please?
What about Drexel's idea do you not understand?

6. ## Re: divisible group + monomorphism

Yes i know it already. But i dont know how can i build a homomorphism from Q to D.

7. ## Re: divisible group + monomorphism

hmmm.... i have an integer m, and a natural number n. how can i make a rational number from that? i wonder....