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

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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