Finitely generated group - Alchetron, the free social encyclopedia
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Finitely generated group - Alchetron, the free social encyclopedia
In algebra, a finitely generated group is a group G that has some finite generating set S so that every element of G can be written as the product of finitely many elements of the finite set S and of inverses of such elements. By definition, every finite group is finitely generated, since S can be t
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