# 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 ExampleOfDivisibleGroup 2013-03-22 13:47:20 2013-03-22 13:47:20 mathcam (2727) mathcam (2727) 4 mathcam (2727) Example msc 20K99