Free group:F3

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VIEW DEFINITIONS USING THIS AS EXAMPLE: All terms |Group properties |Subgroup properties|
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Definition

This group, sometimes denoted $F_{3}$, is defined as the free group of rank three, i.e., the free group on a freely generating set of size three. The group can also be defined as the external free product $\mathbb {Z} *\mathbb {Z} *\mathbb {Z}$.