Free group

In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st-1 = su-1ut-1).

Related Topics:
Mathematics - Group - Subset

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Note that the notion of free group is different from the notion free abelian group.

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