Definition:Rank of Free Group

Definition

Let $F$ be a free group.

The rank of $F$ is the dimension of its abelianization as a module over $\Z$.

Also see

• Abelianization of Free Group is Free Abelian Group
• Rank of Free Group on Set is Cardinality of Set

Sources

There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page.