free group

free object in the category of groups; a group admitting a presentation without any relations
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free group

Summary

free group ranks in the top 2% of general entities by monthly Wikipedia readership (193 views/month).[1]

Key Facts

  • free group's image is recorded as F2 Cayley Graph.svg[2].
  • free group's subclass of is recorded as Artin group[3].
  • free group's subclass of is recorded as free object[4].
  • free group's subclass of is recorded as residually finite group[5].
  • free group's Commons category is recorded as Free groups[6].
  • free group's Freebase ID is recorded as /m/0g860[7].
  • free group's Stack Exchange tag is recorded as https://mathoverflow.net/tags/free-groups[8].
  • free group's different from is recorded as free abelian group[9].
  • free group's studied by is recorded as group theory[10].
  • free group's nLab ID is recorded as free group[11].
  • free group's Microsoft Academic ID is recorded as 77021192[12].
  • free group's ProofWiki ID is recorded as Definition:Free_Group[13].
  • free group's Group Properties article ID is recorded as Free_group[14].
  • free group's OpenAlex ID is recorded as C77021192[15].
  • free group's Metamath statement ID is recorded as df-frgp[16].

Why It Matters

free group ranks in the top 2% of general entities by monthly Wikipedia readership (193 views/month).[1] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[17]

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] . Freebase Data Dumps. wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [16] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . 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). free group. Retrieved April 10, 2026, from https://4ort.xyz/entity/free-group
MLA “free group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/free-group.
BibTeX @misc{4ortxyz_free-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{free group}}, year = {2026}, url = {https://4ort.xyz/entity/free-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): free group — https://4ort.xyz/entity/free-group (retrieved 2026-04-10)

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