Finitely Generated
A group G is said to be finitely generated if there exists a finite set of group generators for G.
See also
Group GeneratorsExplore with Wolfram|Alpha
WolframAlpha
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Cite this as:
Weisstein, Eric W. "Finitely Generated." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FinitelyGenerated.html