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
rdfs:label
"finitely generated group"@en
schema:description
"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"@en
schema:dateModified "2026-09-06T20:26:29+00:00"^^xsd:dateTime
schema:version 2541299124
wikibase:identifiers 7
wikibase:sitelinks 8
wikibase:statements 11
p:P10283 wd:statement/Q21083858-08844C9D-7EC7-4D4C-877D-A78CD4A34438
p:P1417 wd:statement/Q21083858-4CE0657A-78D1-470F-85B5-451632B594B3
p:P1552 wd:statement/Q21083858-59144d3f-4c9e-5936-b89a-4149dbb2976d
p:P2671 wd:statement/Q21083858-D63BA47A-87E8-4F6A-ADF2-6BE356E363E1
p:P279 wd:statement/Q21083858-4ce0d4b0-4599-2308-db9c-b0c26ea77aa1
wd:statement/Q21083858-ec6be0be-4c6a-3098-a7f9-505cddbe51bf
p:P2812 wd:statement/Q21083858-9B68C2FD-5793-4A28-99F6-48AAE4CD5EAD
p:P6104 wd:statement/Q21083858-760202C5-6FA6-4367-BC83-2249B7B2C362
p:P6366 wd:statement/Q21083858-CB36362A-E4C0-4BC5-A5F4-9D2BB7D91F8D
p:P7726 wd:statement/Q21083858-bf9d5d1a-41d5-e5f5-e2ac-626bfbf33185
p:P8417 wd:statement/Q21083858-db7bf691-410a-e28a-e7cc-11dddb9710c7
p:direct-normalized/P2671 <http://g.co/kg/g/11bc5ctv3p>
p:direct-normalized/P6366 <https://makg.org/entity/2780811992>
wdt:P10283 "C2780811992"
wdt:P1417 "topic/finitely-generated-group"
wdt:P1552 generating set of a group
wdt:P2671 "/g/11bc5ctv3p"
wdt:P279 finitely generated object
group
wdt:P2812 "FinitelyGenerated"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "2780811992"
wdt:P7726 "FinitelyGeneratedGroup"
wdt:P8417 "Finitely_generated_group"
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