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group theory

branch of mathematics that studies the algebraic properties of groups
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group theory

Summary

group theory is a branch of mathematics[1]. It draws 2,029 Wikipedia views per month (branch_of_mathematics category, ranking #19 of 184).[2]

Key Facts

  • group theory's instance of is recorded as branch of mathematics[3].
  • group theory's instance of is recorded as mathematical theory[4].
  • group theory is a type of mathematics[5].
  • group theory is part of abstract algebra[6].
  • group theory is part of algebra[7].
  • group theory is part of theory of monoids[8].
  • group theory's Commons category is recorded as Group theory[9].
  • group theory's topic's main category is recorded as Category:Group theory[10].
  • group theory's described by source is recorded as Encyclopædia Britannica 11th edition[11].
  • group theory's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/group-theory[12].
  • group theory's Stack Exchange tag is recorded as https://mathoverflow.net/tags/gr.group-theory[13].
  • group theory's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/group-theory[14].
  • group theory's Stack Exchange tag is recorded as https://cstheory.stackexchange.com/tags/gr.group-theory[15].
  • group theory's is the study of is recorded as group[16].
  • group theory's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[17].
  • group theory's maintained by WikiProject is recorded as WikiProject Mathematics[18].

Body

Publication

Part of include abstract algebra[6], a branch of mathematics[19]; algebra[7], a branch of mathematics[20]; and theory of monoids[8].

Why It Matters

group theory draws 2,029 Wikipedia views per month (branch_of_mathematics category, ranking #19 of 184).[2] It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[21] It is known by 25 alternative names across languages and contexts.[22]

Related Entities

Arthur Cayley Camille Jordan Charles Wells Efim Zelmanov Eugene M. Luks Évariste Galois Felix Klein Ferdinand Georg Frobenius Hermann Weyl Israel Gelfand Issai Schur Jacques Tits Jens Peter Wittenburg John G. Thompson John Horton Conway Mark Jude Debonis mathematics Mikhail Gromov Niels Henrik Abel Otto Schmidt Peter Ludwig Mejdell Sylow Richard A. Parker Richard Borcherds Sophus Lie Volker Diekert Volker Turau

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [19] ↑ . Wikidata. wikidata.org. → on this site
  2. [20] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] ↑ . Wikidata sitelinks. wikidata.org.
  3. [22] ↑ . 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 theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/group-theory
MLA “group theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/group-theory.
BibTeX @misc{4ortxyz_group-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{group theory}}, year = {2026}, url = {https://4ort.xyz/entity/group-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): group theory — https://4ort.xyz/entity/group-theory (retrieved 2026-05-03)

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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. 7h ago · Twofivesixbot bot · 2026-05-20 view diff on Wikidata ↗
    Part of → —
    Is the study of → group
    On focus list of wikimedia project → Wikipedia:Vital articles/Level/4
    Instance of → —
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|4 */ [[Property:P2347]]: 12497, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.