Coxeter group

abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors)
Intangible mathematical_concept Q7874246
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Coxeter group

Summary

Coxeter group is a mathematical concept[1]. It ranks in the top 9% of mathematical_concept entities by monthly Wikipedia readership (215 views/month).[2]

Key Facts

  • Coxeter group's instance of is recorded as mathematical concept[3].
  • Harold Scott MacDonald Coxeter is named after Coxeter group[4].
  • Coxeter group's GND ID is recorded as 4261522-7[5].
  • Coxeter group's Library of Congress authority ID is recorded as sh00000209[6].
  • Coxeter group's Bibliothèque nationale de France ID is recorded as 13562002v[7].
  • Coxeter group's IdRef ID is recorded as 052537196[8].
  • Coxeter group's subclass of is recorded as reflection group[9].
  • Coxeter group's Commons category is recorded as Coxeter groups[10].
  • Coxeter group's Freebase ID is recorded as /m/01rc_6[11].
  • Coxeter group's topic's main category is recorded as Category:Coxeter groups[12].
  • Coxeter group's FAST ID is recorded as 882060[13].
  • Coxeter group's studied by is recorded as solid geometry[14].
  • Coxeter group's MathWorld ID is recorded as CoxeterGroup[15].
  • Coxeter group's nLab ID is recorded as Coxeter group[16].
  • Coxeter group's maintained by WikiProject is recorded as WikiProject Mathematics[17].
  • Coxeter group's Microsoft Academic ID is recorded as 143669375[18].
  • Coxeter group's PlanetMath ID is recorded as CoxeterGroup[19].
  • Coxeter group's National Library of Israel J9U ID is recorded as 987007290692005171[20].
  • Coxeter group's Group Properties article ID is recorded as Coxeter_group[21].
  • Coxeter group's OpenAlex ID is recorded as C143669375[22].
  • Coxeter group's ScienceDirect topic ID is recorded as mathematics/coxeter-group[23].
  • Coxeter group's Yale LUX ID is recorded as concept/4d719191-65fb-47c6-9d78-04857d9284cc[24].

Why It Matters

Coxeter group ranks in the top 9% of mathematical_concept entities by monthly Wikipedia readership (215 views/month).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[25] It is known by 4 alternative names across languages and contexts.[26]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . Faceted Application of Subject Terminology. Retrieved . wikidata.org.
  4. [6] . Faceted Application of Subject Terminology. Retrieved . wikidata.org.
  5. [7] . Faceted Application of Subject Terminology. Retrieved . wikidata.org.
  6. [8] . SUDOC. Retrieved . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Faceted Application of Subject Terminology. Retrieved . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . National Library of Israel. wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] . Wikidata sitelinks. wikidata.org.
  3. [26] . 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). Coxeter group. Retrieved May 3, 2026, from https://4ort.xyz/entity/coxeter-group
MLA “Coxeter group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/coxeter-group.
BibTeX @misc{4ortxyz_coxeter-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Coxeter group}}, year = {2026}, url = {https://4ort.xyz/entity/coxeter-group}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Coxeter group — https://4ort.xyz/entity/coxeter-group (retrieved 2026-05-03)

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