(B, N) pair

structure on Lie groups
Thing mathematical_structure Q1317188
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(B, N) pair

Summary

(B, N) pair is a mathematical structure[1]. (B, N) pair draws 37 Wikipedia views per month (mathematical_structure category, ranking #3 of 3).[2]

Key Facts

  • (B, N) pair's instance of is recorded as mathematical structure[3].
  • (B, N) pair's instance of is recorded as mathematical concept[4].
  • Jacques Tits is named after (B, N) pair[5].
  • (B, N) pair's subclass of is recorded as ordered pair[6].
  • (B, N) pair's Freebase ID is recorded as /m/05vrdz[7].
  • (B, N) pair's facet of is recorded as group of Lie type[8].
  • (B, N) pair's defining formula is recorded as \begin{aligned}\langle B\cup N\rangle &= G \ B\cap N& \triangleleft N \ \langle S\rangle &= N/(B\cap N) \ \forall s\in S\colon s^2 &= 1 \ \forall (s,w)\in S\times(N/(B\cap N))\colon sBw & \subset BswB \cup BwB \ \forall s\in S\colon sB & \ne Bs \end{aligned}[9].
  • (B, N) pair's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • (B, N) pair's Microsoft Academic ID is recorded as 205194509[11].
  • (B, N) pair's Group Properties article ID is recorded as BN-pair[12].

Why It Matters

(B, N) pair draws 37 Wikipedia views per month (mathematical_structure category, ranking #3 of 3).[2] (B, N) pair has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[13] (B, N) pair is known by 6 alternative names across languages and contexts.[14]

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] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). (B, N) pair. Retrieved May 3, 2026, from https://4ort.xyz/entity/b-n-pair
MLA “(B, N) pair.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/b-n-pair.
BibTeX @misc{4ortxyz_b-n-pair_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{(B, N) pair}}, year = {2026}, url = {https://4ort.xyz/entity/b-n-pair}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): (B, N) pair — https://4ort.xyz/entity/b-n-pair (retrieved 2026-05-03)

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