orbit of a group action

the equivalence class under the equivalence relation induced by a group action on a set
Thing general Q17859776
Press Enter · cited answer in seconds

orbit of a group action

Summary

orbit of a group action ranks in the top 2% of general entities by monthly Wikipedia readership (11 views/month).[1]

Key Facts

  • orbit of a group action's subclass of is recorded as equivalence class[2].
  • orbit of a group action's part of is recorded as group theory[3].
  • orbit of a group action's defining formula is recorded as {g\cdot x \colon g\in G}[4].
  • orbit of a group action's Google Knowledge Graph ID is recorded as /g/11_ylct_y[5].
  • orbit of a group action's MathWorld ID is recorded as GroupOrbit[6].
  • orbit of a group action's nLab ID is recorded as orbit[7].
  • orbit of a group action's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • orbit of a group action's in defining formula is recorded as G[9].
  • orbit of a group action's in defining formula is recorded as \cdot[10].
  • orbit of a group action's PlanetMath ID is recorded as Orbit[11].

Why It Matters

orbit of a group action ranks in the top 2% of general entities by monthly Wikipedia readership (11 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[12] It is known by 6 alternative names across languages and contexts.[13]

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.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). orbit of a group action. Retrieved April 11, 2026, from https://4ort.xyz/entity/orbit-of-a-group-action
MLA “orbit of a group action.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/orbit-of-a-group-action.
BibTeX @misc{4ortxyz_orbit-of-a-group-action_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{orbit of a group action}}, year = {2026}, url = {https://4ort.xyz/entity/orbit-of-a-group-action}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): orbit of a group action — https://4ort.xyz/entity/orbit-of-a-group-action (retrieved 2026-04-11)

Canonical URL: https://4ort.xyz/entity/orbit-of-a-group-action · Last refreshed: