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Galois theory

branch of mathematics that studies automorphism groups of fields
Thing mathematical_theory Q92552
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Summary

Galois theory is a mathematical theory[1]. It ranks in the top 7% of mathematical theory entities by monthly Wikipedia readership (4,382 views/month).[2]

Key Facts

  • Named after: Évariste Galois[3]
  • Subclass of: branch of mathematics[4]
  • Part of: field theory[5], theory of algebraic field extensions[6], Q114705112[7], Q114728144[8], invariant theory[9]
  • Commons category: Galois theory[10]
  • Topic's main category: Category:Galois theory[11]
  • Described by source: Galois Theory for Beginners: A Historical Perspective[12]
  • Stack Exchange tag: https://mathoverflow.net/tags/galois-theory[13], https://math.stackexchange.com/tags/galois-theory[14]
  • Different from: Galois group[15]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[16]
  • Maintained by WikiProject: WikiProject Mathematics[17]

Why It Matters

Galois theory has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[18] It is known by 28 alternative names across languages and contexts.[19]

Related Entities

Évariste Galois Igor Shafarevich

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . 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). Galois theory. Retrieved October 17, 2026, from https://4ort.xyz/entity/galois-theory
MLA “Galois theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 17 Oct. 2026, https://4ort.xyz/entity/galois-theory.
BibTeX @misc{4ortxyz_galois-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Galois theory}}, year = {2026}, url = {https://4ort.xyz/entity/galois-theory}, note = {Accessed: 2026-10-17}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Galois theory — https://4ort.xyz/entity/galois-theory (retrieved 2026-10-17)

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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. 18w ago · Jindřich Rubeš · 2026-06-12 view diff on Wikidata ↗
    Svkkl authority id → 0210157-Galoisova-teorie
    "/* wbcreateclaim-create:1| */ Svkkl authority id: 0210157-Galoisova-teorie, [[:toollabs:quickstatements/#/batch/259497|batch #259497]]"
  2. 21w ago · Twofivesixbot bot · 2026-05-23 view diff on Wikidata ↗
    Part of → field theory, theory of algebraic field extensions, Q114705112 +2
    Subclass of → —
    Part of → —
    Instance of → —
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ National library of israel j9u id: 987007558074605171, mv to monolingual text names on J9U statements"
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