semidirect product

operation in group theory
Thing general Q291126
Press Enter · cited answer in seconds

semidirect product

Summary

semidirect product ranks in the top 2% of general entities by monthly Wikipedia readership (293 views/month).[1]

Key Facts

  • semidirect product's subclass of is recorded as mathematical operation[2].
  • semidirect product's Freebase ID is recorded as /m/0cxvn[3].
  • semidirect product's notation is recorded as ⋉[4].
  • semidirect product's notation is recorded as ⋊[5].
  • semidirect product's facet of is recorded as group theory[6].
  • semidirect product's defining formula is recorded as \begin{aligned}(N\rtimes_\varphi H)\times (N\rtimes_\varphi H)&\to N\rtimes_\varphi H\(n,h)(n',h')&=(n\varphi_h(n'),hh')\end{aligned}[7].
  • semidirect product's MathWorld ID is recorded as SemidirectProduct[8].
  • semidirect product's nLab ID is recorded as semidirect product group[9].
  • semidirect product's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • semidirect product's Microsoft Academic ID is recorded as 75066664[11].
  • semidirect product's Brilliant Wiki ID is recorded as semidirect-product[12].
  • semidirect product's ProofWiki ID is recorded as Definition:Semidirect_Product[13].
  • semidirect product's in defining formula is recorded as N[14].
  • semidirect product's in defining formula is recorded as H[15].
  • semidirect product's in defining formula is recorded as \varphi[16].
  • semidirect product's Encyclopedia of Mathematics article ID is recorded as Semi-direct_product[17].
  • semidirect product's Group Properties article ID is recorded as Semidirect_product[18].
  • semidirect product's Treccani's Enciclopedia della Matematica ID is recorded as prodotto-semidiretto[19].
  • semidirect product's OpenAlex ID is recorded as C75066664[20].
  • semidirect product's LMFDB knowl ID is recorded as group.semidirect_product[21].

Why It Matters

semidirect product ranks in the top 2% of general entities by monthly Wikipedia readership (293 views/month).[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[22]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . Freebase Data Dumps. 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.
  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] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  20. [21] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] . Wikidata sitelinks. 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). semidirect product. Retrieved April 10, 2026, from https://4ort.xyz/entity/semidirect-product
MLA “semidirect product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/semidirect-product.
BibTeX @misc{4ortxyz_semidirect-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{semidirect product}}, year = {2026}, url = {https://4ort.xyz/entity/semidirect-product}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): semidirect product — https://4ort.xyz/entity/semidirect-product (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/semidirect-product · Last refreshed: