example of divisible group

Let $G$ denote the group of rational numbers taking the operation to be addition. Then for any $\frac{p}{q}\in G$ and $n\in {\mathbb{Z}}^{+}$, we have $\frac{p}{nq}\in G$ satisfying $n\frac{p}{nq}=\frac{p}{q}$, so the group is divisible.

Title	example of divisible group
Canonical name	ExampleOfDivisibleGroup
Date of creation	2013-03-22 13:47:20
Last modified on	2013-03-22 13:47:20
Owner	mathcam (2727)
Last modified by	mathcam (2727)
Numerical id	4
Author	mathcam (2727)
Entry type	Example
Classification	msc 20K99