free product

operation that takes two groups G and H and constructs a new group G ∗ H
Thing mathematical_operation Q1454165
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free product

Summary

free product is a mathematical operation[1]. It draws 145 Wikipedia views per month (mathematical_operation category, ranking #5 of 11).[2]

Key Facts

  • free product's instance of is recorded as mathematical operation[3].
  • free product's instance of is recorded as binary operation[4].
  • free product's Freebase ID is recorded as /m/01_bcn[5].
  • free product's definition domain is recorded as group[6].
  • free product's codomain is recorded as group[7].
  • free product's studied by is recorded as category theory[8].
  • free product's studied by is recorded as group theory[9].
  • free product's Microsoft Academic ID is recorded as 47527751[10].
  • free product's OpenAlex ID is recorded as C47527751[11].

Why It Matters

free product draws 145 Wikipedia views per month (mathematical_operation category, ranking #5 of 11).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[12] It is known by 5 alternative names across languages and contexts.[13]

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] . Freebase Data Dumps. wikidata.org.
  4. [6] . Retrieved . wikidata.org.
  5. [7] . Retrieved . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Retrieved . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

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

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