finitely generated group

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 element

Wikidata entity: Q21083858

P1552 has characteristic ... Q734209 (generating set of a group) generating set of a group
P6104 maintained by WikiProject ... Q8487137 (WikiProject Mathematics) WikiProject Mathematics
P279 subclass of ... Q5450412 (finitely generated object) finitely generated object
P279 subclass of ... Q83478 (group) group
External Ids
P1417Encyclopædia Britannica Online IDtopic/finitely-generated-group
P2671Google Knowledge Graph ID/g/11bc5ctv3p
P8417Group Properties article IDFinitely_generated_group
P2812MathWorld IDFinitelyGenerated
P6366Microsoft Academic ID (discontinued)2780811992
P10283OpenAlex IDC2780811992
P7726PlanetMath IDFinitelyGeneratedGroup

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