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Finitely generated group

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Group theory
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A finitely generated group is a group \( G \) that can be generated by a finite set of elements. More formally, there exists a finite set of elements \( \{ g_1, g_2, \ldots, g_n \} \) in \( G \) such that every element \( g \in G \) can be expressed as a finite combination of these generators and their inverses.

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Finitely generated group by Ciro Santilli 37 Updated 2025-07-16
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