cyclic group

mathematical group that can be generated as the set of powers of a single element
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cyclic group

Summary

cyclic group ranks in the top 2% of general entities by monthly Wikipedia readership (400 views/month).[1]

Key Facts

  • cyclic group's image is recorded as Cyclic group order.png[2].
  • cyclic group's subclass of is recorded as abelian group[3].
  • cyclic group's subclass of is recorded as finitely generated group[4].
  • cyclic group's Freebase ID is recorded as /m/0drq5[5].
  • cyclic group's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/cyclic-groups[6].
  • cyclic group's has characteristic is recorded as rank of a group[7].
  • cyclic group's studied by is recorded as group theory[8].
  • cyclic group's disjoint union of is recorded as list of values as qualifiers[9].
  • cyclic group's MathWorld ID is recorded as CyclicGroup[10].
  • cyclic group's Elhuyar ZTH ID is recorded as 133607[11].
  • cyclic group's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • cyclic group's Microsoft Academic ID is recorded as 20725272[13].
  • cyclic group's ProofWiki ID is recorded as Definition:Cyclic_Group[14].
  • cyclic group's Encyclopedia of Mathematics article ID is recorded as Cyclic_group[15].
  • cyclic group's Group Properties article ID is recorded as Cyclic_group[16].
  • cyclic group's Treccani's Enciclopedia della Matematica ID is recorded as gruppo-ciclico[17].
  • cyclic group's OpenAlex ID is recorded as C20725272[18].
  • cyclic group's Metamath statement ID is recorded as df-cyg[19].
  • cyclic group's LMFDB knowl ID is recorded as group.cyclic[20].

Why It Matters

cyclic group ranks in the top 2% of general entities by monthly Wikipedia readership (400 views/month).[1] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[21] It is known by 6 alternative names across languages and contexts.[22]

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] . The Theory of Groups, Volume 1. wikidata.org.
  4. [5] . Freebase Data Dumps. 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] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . Wikidata aliases. 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). cyclic group. Retrieved April 10, 2026, from https://4ort.xyz/entity/cyclic-group
MLA “cyclic group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/cyclic-group.
BibTeX @misc{4ortxyz_cyclic-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{cyclic group}}, year = {2026}, url = {https://4ort.xyz/entity/cyclic-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): cyclic group — https://4ort.xyz/entity/cyclic-group (retrieved 2026-04-10)

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