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group object

analogue of the definition of a group inside an arbitrary category
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group object

Summary

group object ranks in the top 2% of general entities by monthly Wikipedia readership (263 views/month).[1]

Key Facts

  • group object is a type of monoid object[2].
  • group object is a type of internal category[3].
  • group object's studied by is recorded as category theory[4].
  • group object's studied by is recorded as group theory[5].
  • group object's exact match is recorded as http://www.farzanegi.org/math/Group?lang=PA[6].
  • group object's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Recorded subclass of include monoid object[2] and internal category[3].

Why It Matters

group object ranks in the top 2% of general entities by monthly Wikipedia readership (263 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[8] It is known by 16 alternative names across languages and contexts.[9]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. wikidata.org.
  3. [9] ↑ . 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). group object. Retrieved October 4, 2026, from https://4ort.xyz/entity/group-object
MLA “group object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Oct. 2026, https://4ort.xyz/entity/group-object.
BibTeX @misc{4ortxyz_group-object_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{group object}}, year = {2026}, url = {https://4ort.xyz/entity/group-object}, note = {Accessed: 2026-10-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): group object — https://4ort.xyz/entity/group-object (retrieved 2026-10-04)

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

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. 10d ago · عُثمان · 2026-09-23 view diff on Wikidata ↗
    Aliases → —
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → monoid object, internal category
    Exact match → http://www.farzanegi.org/math/Group?lang=PA
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P2888]]: http://www.farzanegi.org/math/Group?lang=PA"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.