example of divisible group
ExampleOfDivisibleGroup
2003-07-23 15:50:56
2003-07-23 15:50:56
Example
divisible group
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Let $G$ denote the group of rational numbers taking the operation to be addition. Then for any $\frac{p}{q}\in G$ and $n\in\Z^+$, we have $\frac{p}{nq}\in G$ satisfying $n\frac{p}{nq}=\frac{p}{q}$, so the group is divisible.