wreath product

operation on two groups in group theory
Intangible mathematical_concept Q1786640
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wreath product

Summary

wreath product is a mathematical concept[1]. It draws 143 Wikipedia views per month (mathematical_concept category, ranking #163 of 1,007).[2]

Key Facts

  • wreath product's instance of is recorded as mathematical concept[3].
  • wreath product's instance of is recorded as binary operation[4].
  • wreath product's subclass of is recorded as group[5].
  • wreath product's subclass of is recorded as semidirect product[6].
  • wreath product's Freebase ID is recorded as /m/012pvb[7].
  • wreath product's notation is recorded as ≀[8].
  • wreath product's Open Library subject ID is recorded as wreath_products_(group_theory)[9].
  • wreath product's Open Library subject ID is recorded as wreath_products[10].
  • wreath product's nLab ID is recorded as wreath product of groups[11].
  • wreath product's Microsoft Academic ID is recorded as 95635736[12].
  • wreath product's Encyclopedia of Mathematics article ID is recorded as Wreath_product[13].
  • wreath product's PlanetMath ID is recorded as WreathProduct[14].
  • wreath product's Group Properties article ID is recorded as External_wreath_product[15].
  • wreath product's OpenAlex ID is recorded as C95635736[16].
  • wreath product's class of object is recorded as group[17].
  • wreath product's LMFDB knowl ID is recorded as group.wreath_product[18].

Why It Matters

wreath product draws 143 Wikipedia views per month (mathematical_concept category, ranking #163 of 1,007).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[19]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . 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). wreath product. Retrieved May 3, 2026, from https://4ort.xyz/entity/wreath-product
MLA “wreath product.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/wreath-product.
BibTeX @misc{4ortxyz_wreath-product_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{wreath product}}, year = {2026}, url = {https://4ort.xyz/entity/wreath-product}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): wreath product — https://4ort.xyz/entity/wreath-product (retrieved 2026-05-03)

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