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special orthogonal group

connected component of O(n) containing the identity
Class type of: simple Lie group, compact space, connected space Q3117934

Facts

2 properties
Subclass of
simple Lie group, compact space, connected space, closed subgroup, compact Lie group[1][2][3][4][5]
Maintained by WikiProject
WikiProject Mathematics[6]
🏷️ Also known as
en special orthogonal group en SO(n) cs speciální orthogonální grupa cs speciální ortogonální grupa de spezielle orthogonale Gruppe es Grupo especial ortogonal fr groupe spécial orthogonal fr SO(n) it gruppo ortogonale speciale ja SO群 ja 回転群 ja 特殊直交群 pt grupo ortogonal especial pt SO(n) ru SO(n) ru специальная ортогональная группа uk спеціальна ортогональна група zh SO群 zh 特殊正交群
🔖 Identifiers · 6
Google Knowledge Graph ID
/g/120_f_50
Group Properties article ID
Special_orthogonal_group_for_the_standard_dot_product
MathWorld ID
SpecialOrthogonalGroup
NLab ID
special orthogonal group
ProofWiki ID
Definition:Special_Orthogonal_Group
ScienceDirect topic ID
mathematics/special-orthogonal-group

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🔗 Connections
Subclass of 4
compact space, connected space, simple Lie group, compact Lie group
Examples 3
complex unit circle, rotation group SO(3), rotation group SO(4)
Maintained by WikiProject 1
WikiProject Mathematics
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References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). special orthogonal group. Retrieved November 11, 2026, from https://4ort.xyz/entity/special-orthogonal-group
MLA “special orthogonal group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Nov. 2026, https://4ort.xyz/entity/special-orthogonal-group.
BibTeX @misc{4ortxyz_special-orthogonal-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{special orthogonal group}}, year = {2026}, url = {https://4ort.xyz/entity/special-orthogonal-group}, note = {Accessed: 2026-11-11}}
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