braid group

mathematical concept in knot theory
Thing general Q220409
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braid group

Summary

braid group ranks in the top 2% of general entities by monthly Wikipedia readership (405 views/month).[1]

Key Facts

  • braid group's GND ID is recorded as 4225944-7[2].
  • braid group's subclass of is recorded as Artin group[3].
  • braid group's part of is recorded as knot theory[4].
  • braid group's Commons category is recorded as Braid theory[5].
  • braid group's Freebase ID is recorded as /m/02p1ng[6].
  • braid group's topic's main category is recorded as Category:Braid groups[7].
  • braid group's defining formula is recorded as B_n= \left \langle \sigma_1,\ldots,\sigma_{n-1}| \sigma_i\sigma_{i+1}\sigma_i=\sigma_{i+1}\sigma_i\sigma_{i+1}, \sigma_i\sigma_j=\sigma_j\sigma_i \right \rangle[8].
  • braid group's MathWorld ID is recorded as BraidGroup[9].
  • braid group's nLab ID is recorded as braid group[10].
  • braid group's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • braid group's Microsoft Academic ID is recorded as 33840335[12].
  • braid group's Microsoft Academic ID is recorded as 147441545[13].
  • braid group's ProofWiki ID is recorded as Definition:Braid_Group[14].
  • braid group's Lex ID is recorded as fletningsgruppen[15].
  • braid group's Group Properties article ID is recorded as Braid_group[16].
  • braid group's OpenAlex ID is recorded as C33840335[17].
  • braid group's OpenAlex ID is recorded as C147441545[18].
  • braid group's ScienceDirect topic ID is recorded as mathematics/braid-group[19].
  • braid group's GitLab topic ID is recorded as braid+group[20].

Why It Matters

braid group ranks in the top 2% of general entities by monthly Wikipedia readership (405 views/month).[1] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[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] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: 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.

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

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