Galois theory

branch of mathematics that studies automorphism groups of fields
Thing mathematical_theory Q92552
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Galois theory

Summary

Galois theory is a mathematical theory[1]. It ranks in the top 7% of mathematical_theory entities by monthly Wikipedia readership (1,842 views/month).[2]

Key Facts

  • Galois theory's instance of is recorded as mathematical theory[3].
  • Évariste Galois is named after Galois theory[4].
  • Galois theory is a type of branch of mathematics[5].
  • Galois theory is part of field theory[6].
  • Galois theory is part of theory of algebraic field extensions[7].
  • Galois theory is part of Q114705112[8].
  • Galois theory is part of Q114728144[9].
  • Galois theory is part of invariant theory[10].
  • Galois theory's Commons category is recorded as Galois theory[11].
  • Galois theory's topic's main category is recorded as Category:Galois theory[12].
  • Galois theory's described by source is recorded as Galois Theory for Beginners: A Historical Perspective[13].
  • Galois theory's Stack Exchange tag is recorded as https://mathoverflow.net/tags/galois-theory[14].
  • Galois theory's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/galois-theory[15].
  • Galois theory's different from is recorded as Galois group[16].
  • Galois theory's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[17].
  • Galois theory's maintained by WikiProject is recorded as WikiProject Mathematics[18].

Body

Definition and Type

Galois theory's instance of is recorded as mathematical theory[3]. It is a type of branch of mathematics[5].

Origins

Évariste Galois is named after Galois theory[4].

Use and Application

Part of include field theory[6], a mathematical theory[19]; theory of algebraic field extensions[7]; Q114705112[8]; Q114728144[9]; and invariant theory[10], a branch of mathematics[20].

Why It Matters

Galois theory ranks in the top 7% of mathematical_theory entities by monthly Wikipedia readership (1,842 views/month).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[21] It is known by 3 alternative names across languages and contexts.[22]

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). Galois theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/galois-theory
MLA “Galois theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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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. 10d 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 */ [[Property:P8189]]: 987007558074605171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.