Home โ€บ Entities โ€บ theorem โ€บ Sylow theorems

Sylow theorems

the theorem that, for a finite group of order a mutiple of ๐‘โฟ, there exist Sylow ๐‘-subgroups of order ๐‘โฟ (all of whom are conjugate), whose number equals the index of the normalizer of any such subgroup
Intangible theorem Q1057919
Press Enter ยท cited answer in seconds

Sylow theorems

Summary

Sylow theorems is a theorem[1]. It ranks in the top 7% of theorem entities by monthly Wikipedia readership (282 views/month).[2]

Key Facts

  • Sylow theorems's instance of is recorded as theorem[3].
  • Peter Ludwig Mejdell Sylow is named after Sylow theorems[4].
  • Sylow theorems's part of is recorded as list of theorems[5].
  • Sylow theorems's Freebase ID is recorded as /m/0f3t1[6].
  • Sylow theorems's uses is recorded as Sylow subgroup[7].
  • Sylow theorems's studied by is recorded as group theory[8].
  • Sylow theorems's MathWorld ID is recorded as SylowTheorems[9].
  • Sylow theorems's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Sylow theorems's Microsoft Academic ID is recorded as 124535231[11].
  • Sylow theorems's Brilliant Wiki ID is recorded as sylow-theorems[12].
  • Sylow theorems's ProofWiki ID is recorded as Sylow_Theorems[13].
  • Sylow theorems's Encyclopedia of Mathematics article ID is recorded as Sylow_theorems[14].
  • Sylow theorems's PlanetMath ID is recorded as SylowTheorems[15].
  • Sylow theorems's Group Properties article ID is recorded as Sylow's_theorem[16].
  • Sylow theorems's Treccani's Enciclopedia della Matematica ID is recorded as teoremi-di-sylow[17].
  • Sylow theorems's OpenAlex ID is recorded as C124535231[18].
  • Sylow theorems's Great Russian Encyclopedia portal ID is recorded as teoremy-silova-60b18b[19].
  • Sylow theorems's Metamath statement ID is recorded as sylow1[20].

Why It Matters

Sylow theorems ranks in the top 7% of theorem entities by monthly Wikipedia readership (282 views/month).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[21] It is known by 25 alternative names across languages and contexts.[22]

Related Entities

Peter Ludwig Mejdell Sylow

References

Programmatic citations โ€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] โ†‘ . wikidata.org.
  2. [4] โ†‘ . wikidata.org.
  3. [5] โ†‘ . wikidata.org.
  4. [6] โ†‘ . Freebase Data Dumps. wikidata.org.
  5. [7] โ†‘ . wikidata.org.
  6. [8] โ†‘ . wikidata.org.
  7. [9] โ†‘ . wikidata.org.
  8. [10] โ†‘ . wikidata.org.
  9. [11] โ†‘ . wikidata.org.
  10. [12] โ†‘ . wikidata.org.
  11. [13] โ†‘ . wikidata.org.
  12. [14] โ†‘ . wikidata.org.
  13. [15] โ†‘ . wikidata.org.
  14. [16] โ†‘ . wikidata.org.
  15. [17] โ†‘ . wikidata.org.
  16. [18] โ†‘ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [19] โ†‘ . wikidata.org.
  18. [20] โ†‘ . wikidata.org.

Class ancestry

  1. [1] โ†‘ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] โ†‘ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] โ†‘ . Wikidata sitelinks. wikidata.org.
  3. [22] โ†‘ . Wikidata aliases. wikidata.org.

๐Ÿ“‘ 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). Sylow theorems. Retrieved May 3, 2026, from https://4ort.xyz/entity/sylow-theorems
MLA “Sylow theorems.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/sylow-theorems.
BibTeX @misc{4ortxyz_sylow-theorems_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Sylow theorems}}, year = {2026}, url = {https://4ort.xyz/entity/sylow-theorems}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Sylow theorems — https://4ort.xyz/entity/sylow-theorems (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/sylow-theorems ยท Last refreshed: