Phrase guide

Galois group

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

The automorphism group of a Galois extension.

Definition source: English Wiktionary via Wiktextract

Qualifier: Galois theory

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after Évariste Galois, who first discovered them.

Across languages

Translations

11 source translations are retained for this English entry.

  • Arabic: زمرة غالوا — specific group associated with a field extension
  • Chinese Mandarin: 伽罗瓦群 — specific group associated with a field extension
  • Finnish: Galois’n ryhmä — specific group associated with a field extension
  • French: groupe de Galois — specific group associated with a field extension
  • Hungarian: Galois-csoport — specific group associated with a field extension
  • Italian: gruppo di Galois — specific group associated with a field extension
  • Japanese: ガロア群 — specific group associated with a field extension
  • Korean: 갈루아 군 (gallua gun) — specific group associated with a field extension
  • Polish: grupa Galois — specific group associated with a field extension
  • Russian: группа Галуа (gruppa Galua) — specific group associated with a field extension
  • Spanish: grupo de Galois — specific group associated with a field extension