Amalgamated free product of two copies of group of rational numbers over group of integers

Definition
This group is defined as the amalgamated free product $$\mathbb{Q} *_{\mathbb{Z}} \mathbb{Q}$$ where $$\mathbb{Q}$$ is the group of rational numbers and $$\mathbb{Z}$$ is the group of integers, viewed naturally as a subgroup of the group of rational numbers.

Related groups

 * Direct product of group of rational numbers and group of rational numbers modulo integers