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rotation group SO(3)

group of rotations in 3 dimensions
Thing Special Orthogonal Group Q1256500

Facts

6 properties
Instance of
special orthogonal group, non-abelian group[2]
Follows
complex unit circle[3]
Followed by
rotation group SO(4)[4]
Euler characteristic
+0[6]
Has operation
rotation[7]
Studied by
Lie theory[5]
🏷️ Also known as
en rotation group SO(3) en SO(3) cs Grupa rotací v trojrozměrném prostoru de Drehgruppe de SO(3) de SO(3,R) es Grupo de rotación SO(3) es SO(3) he חבורת הסיבוב (3)SO ja 回転群 SO(3) ja 3次元回転群 ja 三次回転群 ko 3차원 직교군 nl Rotatiegroep pl Grupa obrotów pl Grupa SO(3) pt grupo de rotação SO(3) pt SO(3) ro grupul de rotație SO(3) ru SO(3)
🔖 Identifiers · 5
OpenAlex ID
C207570611
Freebase ID
/m/017gqd
Group Properties article ID
Special_orthogonal_group:SO(3,R)
Microsoft Academic ID (discontinued)
207570611
NLab ID
SO(3)

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🔗 Connections
Instance of 2
non-abelian group, special orthogonal group
Followed by 1
rotation group SO(4)
Followed by (predecessor) 1
rotation group SO(4)
Follows 1
complex unit circle
Has operation 1
rotation
Preceded by (successor) 1
complex unit circle
Studied by 1
Lie theory
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Summary

rotation group SO(3) is a special orthogonal group[1].

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] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. 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). rotation group SO(3). Retrieved November 6, 2026, from https://4ort.xyz/entity/rotation-group-so-3
MLA “rotation group SO(3).” 4ort.xyz Knowledge Graph, 4ort.xyz, 6 Nov. 2026, https://4ort.xyz/entity/rotation-group-so-3.
BibTeX @misc{4ortxyz_rotation-group-so-3_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rotation group SO(3)}}, year = {2026}, url = {https://4ort.xyz/entity/rotation-group-so-3}, note = {Accessed: 2026-11-06}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rotation group SO(3) — https://4ort.xyz/entity/rotation-group-so-3 (retrieved 2026-11-06)

Canonical URL: https://4ort.xyz/entity/rotation-group-so-3 · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 23w ago · Charp238 · 2026-05-29 view diff on Wikidata ↗
    Studied by → Lie theory
    Instance of → special orthogonal group, non-abelian group
    NLab ID → SO(3)
    Has operation → rotation
    + 3 other properties edited (see Wikidata diff for full list)
    "Created claim: NLab ID: SO(3)"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.