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The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations. It provides a link between field theory and group theory: it permits certain problems in the former to be reduced to the latter, which in some respects is simpler and better understood.
Definition source: English Wiktionary via Wiktextract
Usage: uncountable, usually
Qualifier: field theory
Topics: algebra, mathematics, sciences
Examples
- 1992, Journal of Contemporary Mathematical Analysis, Volume 27, Allerton Press, page 4, Though often our results are prompted by the classical or parallel Galois theories, their proofs are completely different and are based on the set-theoretical approach.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
group theory applied to the solution of algebraic equations
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: group theory
Standardly constructed calque of French théorie de Galois (which was used as a section heading in 1870, Camille Jordan, Traité des substitutions et des équations algébriques). First appeared in print in 1893, Bulletin of the New York Mathematical Society. Ultimately, named after French mathematician Evariste Galois (1811-1832), who first developed the theory to explore how the roots of a given polynomial equation relate to each other.
Across languages
Translations
4 source translations are retained for this English entry.
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French:
théorie de Galois
— branch of mathematics
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German:
Galoistheorie
— branch of mathematics
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Italian:
teoria di Galois
— branch of mathematics
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Polish:
teoria Galois
— branch of mathematics
