dihedral group

group of symmetries of a regular polygon
Thing general Q558339
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dihedral group

Summary

dihedral group ranks in the top 2% of general entities by monthly Wikipedia readership (484 views/month).[1]

Key Facts

  • dihedral group's subclass of is recorded as Coxeter group[2].
  • dihedral group's subclass of is recorded as metabelian group[3].
  • dihedral group's subclass of is recorded as finite group[4].
  • dihedral group's Commons category is recorded as Images with dihedral symmetry[5].
  • dihedral group's BNCF Thesaurus ID is recorded as 49670[6].
  • dihedral group's Freebase ID is recorded as /m/0pk0j[7].
  • dihedral group's defining formula is recorded as \mathrm{r}i\,\mathrm{r}_j = \mathrm{r}{i+j}, \quad \mathrm{r}i\,\mathrm{s}_j = \mathrm{s}{i+j}, \quad \mathrm{s}i\,\mathrm{r}_j = \mathrm{s}{i-j}, \quad \mathrm{s}i\,\mathrm{s}_j = \mathrm{r}{i-j}[8].
  • dihedral group's studied by is recorded as group theory[9].
  • dihedral group's MathWorld ID is recorded as DihedralGroup[10].
  • dihedral group's Quora topic ID is recorded as Dihedral-Group[11].
  • dihedral group's nLab ID is recorded as dihedral group[12].
  • dihedral group's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • dihedral group's Microsoft Academic ID is recorded as 72409365[14].
  • dihedral group's ProofWiki ID is recorded as Definition:Dihedral_Group[15].
  • dihedral group's Encyclopedia of Mathematics article ID is recorded as Dihedral_group[16].
  • dihedral group's Group Properties article ID is recorded as Dihedral_group[17].
  • dihedral group's Treccani's Enciclopedia della Matematica ID is recorded as gruppo-diedrale[18].
  • dihedral group's OpenAlex ID is recorded as C72409365[19].

Why It Matters

dihedral group ranks in the top 2% of general entities by monthly Wikipedia readership (484 views/month).[1] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[20] It is known by 20 alternative names across languages and contexts.[21]

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] . Nuovo soggettario. wikidata.org.
  6. [7] . Freebase Data Dumps. wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . Quora. 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] . wikidata.org.
  18. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). dihedral group. Retrieved April 10, 2026, from https://4ort.xyz/entity/dihedral-group
MLA “dihedral group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/dihedral-group.
BibTeX @misc{4ortxyz_dihedral-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{dihedral group}}, year = {2026}, url = {https://4ort.xyz/entity/dihedral-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): dihedral group — https://4ort.xyz/entity/dihedral-group (retrieved 2026-04-10)

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