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finite group

mathematical group based upon a finite number of elements
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finite group

Summary

finite group ranks in the top 2% of general entities by monthly Wikipedia readership (391 views/month).[1]

Key Facts

  • finite group is a type of finitely generated group[2].
  • finite group is a type of locally finite group[3].
  • finite group is a type of thin group[4].
  • finite group is a type of profinite group[5].
  • finite group is a type of Hopfian group[6].
  • finite group is a type of FC-group[7].
  • finite group is a type of elementary amenable group[8].
  • finite group is a type of residually finite group[9].
  • finite group's Commons category is recorded as Finite groups[10].
  • finite group is the opposite of infinite group[11].
  • finite group's topic's main category is recorded as Category:Finite groups[12].
  • finite group's Stack Exchange tag is recorded as https://mathoverflow.net/tags/finite-groups[13].
  • finite group's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/finite-groups[14].
  • finite group's has characteristic is recorded as group order[15].
  • finite group's studied by is recorded as group theory[16].
  • finite group's maintained by WikiProject is recorded as WikiProject Mathematics[17].

Body

Definition and Type

Recorded subclass of include finitely generated group[2], locally finite group[3], thin group[4], profinite group[5], Hopfian group[6], and FC-group[7]. It is the opposite of infinite group[11].

Why It Matters

finite group ranks in the top 2% of general entities by monthly Wikipedia readership (391 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[18] It is known by 9 alternative names across languages and contexts.[19]

Related Entities

László Babai

References

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

Direct Wikidata claims

  1. [2] ↑ . The Theory of Groups, Volume 1. wikidata.org.
  2. [3] ↑ . 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] ↑ . wikidata.org.
  14. [15] ↑ . wikidata.org.
  15. [16] ↑ . wikidata.org.
  16. [17] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . 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). finite group. Retrieved April 10, 2026, from https://4ort.xyz/entity/finite-group
MLA “finite group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/finite-group.
BibTeX @misc{4ortxyz_finite-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{finite group}}, year = {2026}, url = {https://4ort.xyz/entity/finite-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): finite group — https://4ort.xyz/entity/finite-group (retrieved 2026-04-10)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 1d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Opposite of → infinite group
    Subclass of → —
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007531228305171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.