orthogonal group

mathematical group consisting of transformations of a Euclidean space which preserve distance and a fixed point
Thing general Q1783179
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orthogonal group

Summary

orthogonal group ranks in the top 2% of general entities by monthly Wikipedia readership (360 views/month).[1]

Key Facts

  • orthogonal group's subclass of is recorded as simple Lie group[2].
  • orthogonal group's subclass of is recorded as compact space[3].
  • orthogonal group's subclass of is recorded as algebraic group[4].
  • orthogonal group's subclass of is recorded as compact Lie group[5].
  • orthogonal group's Freebase ID is recorded as /m/017gp1[6].
  • orthogonal group's defining formula is recorded as \operatorname{O}_n(\mathbb{K})={A\in\mathbb{K}^{n\times n}|A^T A=AA^T =I_n}[7].
  • orthogonal group's studied by is recorded as group theory[8].
  • orthogonal group's studied by is recorded as Lie theory[9].
  • orthogonal group's MathWorld ID is recorded as OrthogonalGroup[10].
  • orthogonal group's nLab ID is recorded as orthogonal group[11].
  • orthogonal group's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • orthogonal group's Microsoft Academic ID is recorded as 146561895[13].
  • orthogonal group's ProofWiki ID is recorded as Definition:Orthogonal_Group[14].
  • orthogonal group's Encyclopedia of Mathematics article ID is recorded as Orthogonal_group[15].
  • orthogonal group's Group Properties article ID is recorded as Orthogonal_group_for_a_symmetric_bilinear_form[16].
  • orthogonal group's Group Properties article ID is recorded as Orthogonal_group[17].
  • orthogonal group's OpenAlex ID is recorded as C146561895[18].

Why It Matters

orthogonal group ranks in the top 2% of general entities by monthly Wikipedia readership (360 views/month).[1] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[19] It is known by 15 alternative names across languages and contexts.[20]

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] ↑ . wikidata.org.
  17. [18] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] ↑ . Wikidata sitelinks. wikidata.org.
  3. [20] ↑ . 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). orthogonal group. Retrieved October 5, 2026, from https://4ort.xyz/entity/orthogonal-group
MLA “orthogonal group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 5 Oct. 2026, https://4ort.xyz/entity/orthogonal-group.
BibTeX @misc{4ortxyz_orthogonal-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{orthogonal group}}, year = {2026}, url = {https://4ort.xyz/entity/orthogonal-group}, note = {Accessed: 2026-10-05}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): orthogonal group — https://4ort.xyz/entity/orthogonal-group (retrieved 2026-10-05)

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