Home › Entities › general › divisible group

divisible group

abelian group in which every element can, in some sense, be divided by positive integers
Thing general Q1782332
Press Enter · cited answer in seconds

divisible group

Summary

divisible group ranks in the top 2% of general entities by monthly Wikipedia readership (30 views/month).[1]

Key Facts

  • divisible group's subclass of is recorded as abelian group[2].
  • divisible group's Freebase ID is recorded as /m/02dm9s[3].
  • divisible group's defining formula is recorded as G = \mathrm{Tor}(G) \oplus G/\mathrm{Tor}(G)[4].
  • divisible group's studied by is recorded as group theory[5].
  • divisible group's nLab ID is recorded as divisible group[6].
  • divisible group's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • divisible group's Microsoft Academic ID is recorded as 154441711[8].
  • divisible group's in defining formula is recorded as G[9].
  • divisible group's in defining formula is recorded as \mathrm{Tor}(G)[10].
  • divisible group's in defining formula is recorded as \oplus[11].
  • divisible group's in defining formula is recorded as /[12].
  • divisible group's Group Properties article ID is recorded as Divisible_abelian_group[13].
  • divisible group's OpenAlex ID is recorded as C154441711[14].

Why It Matters

divisible group ranks in the top 2% of general entities by monthly Wikipedia readership (30 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[15] It is known by 3 alternative names across languages and contexts.[16]

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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . 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). divisible group. Retrieved April 10, 2026, from https://4ort.xyz/entity/divisible-group
MLA “divisible group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/divisible-group.
BibTeX @misc{4ortxyz_divisible-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{divisible group}}, year = {2026}, url = {https://4ort.xyz/entity/divisible-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): divisible group — https://4ort.xyz/entity/divisible-group (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/divisible-group · Last refreshed: