Category:Definitions/Free Groups
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This category contains definitions related to Free Groups.
Related results can be found in Category:Free Groups.
Definition 1
A group $G$ is a free group if and only if it is isomorphic to the free group on some set.
Definition 2
A group $G$ is a free group if and only if it has a presentation of the form $\gen S$, where $S$ is a set.
That is, it has a presentation without relators.
Pages in category "Definitions/Free Groups"
The following 6 pages are in this category, out of 6 total.