finitely generated abelian group

A commutative group where every element is the sum of elements from one finite subset
Thing general Q142140
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finitely generated abelian group

Summary

finitely generated abelian group ranks in the top 2% of general entities by monthly Wikipedia readership (148 views/month).[1]

Key Facts

  • finitely generated abelian group's subclass of is recorded as abelian group[2].
  • finitely generated abelian group's subclass of is recorded as finitely generated group[3].
  • finitely generated abelian group's subclass of is recorded as finitely generated module[4].
  • finitely generated abelian group's subclass of is recorded as finitely generated object[5].
  • finitely generated abelian group's subclass of is recorded as polycyclic group[6].
  • finitely generated abelian group's subclass of is recorded as Noetherian group[7].
  • finitely generated abelian group's Freebase ID is recorded as /m/0f_kd[8].
  • finitely generated abelian group's defining formula is recorded as \mathbb{Z}^n \oplus \mathbb{Z}{q_1} \oplus \cdots \oplus \mathbb{Z}{q_t}[9].
  • finitely generated abelian group's studied by is recorded as group theory[10].
  • finitely generated abelian group's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • finitely generated abelian group's Microsoft Academic ID is recorded as 162860070[12].
  • finitely generated abelian group's Group Properties article ID is recorded as Finitely_generated_abelian_group[13].
  • finitely generated abelian group's OpenAlex ID is recorded as C162860070[14].

Why It Matters

finitely generated abelian group ranks in the top 2% of general entities by monthly Wikipedia readership (148 views/month).[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[15]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . Freebase Data Dumps. 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.

📑 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). finitely generated abelian group. Retrieved April 10, 2026, from https://4ort.xyz/entity/finitely-generated-abelian-group
MLA “finitely generated abelian group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/finitely-generated-abelian-group.
BibTeX @misc{4ortxyz_finitely-generated-abelian-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{finitely generated abelian group}}, year = {2026}, url = {https://4ort.xyz/entity/finitely-generated-abelian-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): finitely generated abelian group — https://4ort.xyz/entity/finitely-generated-abelian-group (retrieved 2026-04-10)

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