example of divisible group

Let G denote the group of rational numbersPlanetmathPlanetmathPlanetmath taking the operationMathworldPlanetmath to be additionPlanetmathPlanetmath. Then for any pqG and n+, we have pnqG satisfying npnq=pq, 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