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group cohomology

cohomology theory associated to a group ๐บ and a ๐บโ€module
Thing functor Q1408937
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group cohomology

Summary

group cohomology is a functor[1]. It draws 449 Wikipedia views per month (functor category, ranking #1 of 3).[2]

Key Facts

  • group cohomology's instance of is recorded as functor[3].
  • group cohomology is the opposite of group homology[4].
  • group cohomology's Stack Exchange tag is recorded as https://mathoverflow.net/tags/group-cohomology[5].
  • group cohomology's studied by is recorded as group theory[6].
  • group cohomology's studied by is recorded as homological algebra[7].
  • group cohomology's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

group cohomology's instance of is recorded as functor[3]. It is the opposite of group homology[4].

Why It Matters

group cohomology draws 449 Wikipedia views per month (functor category, ranking #1 of 3).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[9]

References

Programmatic citations โ€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] โ†‘ . wikidata.org.
  2. [4] โ†‘ . wikidata.org.
  3. [5] โ†‘ . wikidata.org.
  4. [6] โ†‘ . wikidata.org.
  5. [7] โ†‘ . wikidata.org.
  6. [8] โ†‘ . wikidata.org.

Class ancestry

  1. [1] โ†‘ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] โ†‘ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] โ†‘ . Wikidata sitelinks. wikidata.org.

๐Ÿ“‘ 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 cohomology. Retrieved May 3, 2026, from https://4ort.xyz/entity/group-cohomology
MLA “group cohomology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/group-cohomology.
BibTeX @misc{4ortxyz_group-cohomology_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{group cohomology}}, year = {2026}, url = {https://4ort.xyz/entity/group-cohomology}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): group cohomology — https://4ort.xyz/entity/group-cohomology (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/group-cohomology ยท Last refreshed:

Edit History

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

  1. 12d ago ยท Charp238 ยท 2026-05-24 view diff on Wikidata โ†—
    Studied by โ†’ group theory, homological algebra
    Instance of โ†’ functor
    Maintained by wikiproject โ†’ WikiProject Mathematics
    Opposite of โ†’ group homology
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update:2||1 */ [[Property:P461]]: [[Q56298292]]"
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