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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
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finitely generated group

Summary

finitely generated group ranks in the top 2% of general entities by monthly Wikipedia readership (55 views/month).[1]

Key Facts

  • finitely generated group's subclass of is recorded as group[2].
  • finitely generated group's subclass of is recorded as finitely generated object[3].
  • finitely generated group's Encyclopædia Britannica Online ID is recorded as topic/finitely-generated-group[4].
  • finitely generated group's has characteristic is recorded as generating set of a group[5].
  • finitely generated group's Google Knowledge Graph ID is recorded as /g/11bc5ctv3p[6].
  • finitely generated group's MathWorld ID is recorded as FinitelyGenerated[7].
  • finitely generated group's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • finitely generated group's Microsoft Academic ID is recorded as 2780811992[9].
  • finitely generated group's PlanetMath ID is recorded as FinitelyGeneratedGroup[10].
  • finitely generated group's Group Properties article ID is recorded as Finitely_generated_group[11].
  • finitely generated group's OpenAlex ID is recorded as C2780811992[12].

Why It Matters

finitely generated group ranks in the top 2% of general entities by monthly Wikipedia readership (55 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] ↑ . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). finitely generated group. Retrieved April 10, 2026, from https://4ort.xyz/entity/finitely-generated-group
MLA “finitely generated group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/finitely-generated-group.
BibTeX @misc{4ortxyz_finitely-generated-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{finitely generated group}}, year = {2026}, url = {https://4ort.xyz/entity/finitely-generated-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): finitely generated group — https://4ort.xyz/entity/finitely-generated-group (retrieved 2026-04-10)

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