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alternating group

group of even-parity permutations
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alternating group

Summary

alternating group ranks in the top 2% of general entities by monthly Wikipedia readership (155 views/month).[1]

Key Facts

  • alternating group's image is recorded as Alternating group 4; cycle graph; subgroup of S4.svg[2].
  • alternating group's subclass of is recorded as finite group[3].
  • alternating group's subclass of is recorded as group[4].
  • alternating group's subclass of is recorded as permutation group[5].
  • alternating group's part of is recorded as symmetric group[6].
  • alternating group's Freebase ID is recorded as /m/0d6kx[7].
  • alternating group's studied by is recorded as group theory[8].
  • alternating group's has part is recorded as even permutation[9].
  • alternating group's MathWorld ID is recorded as AlternatingGroup[10].
  • alternating group's nLab ID is recorded as alternating group[11].
  • alternating group's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • alternating group's Microsoft Academic ID is recorded as 38847919[13].
  • alternating group's Encyclopedia of Mathematics article ID is recorded as Alternating_group[14].
  • alternating group's Lex ID is recorded as alternerende_gruppe[15].
  • alternating group's Group Properties article ID is recorded as Alternating_group[16].
  • alternating group's Namuwiki ID is recorded as 교대군[17].
  • alternating group's OpenAlex ID is recorded as C38847919[18].
  • alternating group's ScienceDirect topic ID is recorded as mathematics/alternating-group[19].
  • alternating group's Great Russian Encyclopedia portal ID is recorded as znakoperemennaia-gruppa-c1cb7c[20].
  • alternating group's LMFDB knowl ID is recorded as group.alternating[21].

Why It Matters

alternating group ranks in the top 2% of general entities by monthly Wikipedia readership (155 views/month).[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[22] It is known by 8 alternative names across languages and contexts.[23]

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] ↑ . Freebase Data Dumps. 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.
  18. [19] ↑ . wikidata.org.
  19. [20] ↑ . wikidata.org.
  20. [21] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] ↑ . Wikidata sitelinks. wikidata.org.
  3. [23] ↑ . 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). alternating group. Retrieved April 10, 2026, from https://4ort.xyz/entity/alternating-group
MLA “alternating group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/alternating-group.
BibTeX @misc{4ortxyz_alternating-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{alternating group}}, year = {2026}, url = {https://4ort.xyz/entity/alternating-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): alternating group — https://4ort.xyz/entity/alternating-group (retrieved 2026-04-10)

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