Galois theory
/ˈɡælwɑ ˈθi.əɹi/
Galois theory noun: 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.
Noun
Galois theory (usually uncountable, plural Galois theories)
- 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.
- In this chapter we present the Galois theory which may be described as the analysis of field extensions by means of automorphism groups.1989, G. Karpilovsky, Topics in Field Theory, North-Holland, page 299
- The Galois theory of noncommutative rings is a natural outgrowth of the Galois theory of fields.1989, Donald S. Passman, Infinite Crossed Products, Academic Press, page 297
Galois theory meaning in Tamil
Galois theory in Tamil
- கலோயிஸ் கோட்பாடு
Forms of Galois theory
| plural | Galois theories |
|---|
Origin of Galois 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.
Questions about Galois theory
- What does Galois theory mean?
- Galois theory means 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.
- What is Galois theory in Tamil?
- Galois theory in Tamil is கலோயிஸ் கோட்பாடு. See Galois theory meaning in Tamil.
- What part of speech is Galois theory?
- Galois theory is a noun.
- How do you pronounce Galois theory?
- Galois theory is pronounced /ˈɡælwɑ ˈθi.əɹi/.
- What is the plural of Galois theory?
- The plural of Galois theory is Galois theories.
Words near Galois theory in the dictionary
Source and license
Adapted from Wiktionary: Galois theory (page history and authors); galois theory (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “Galois theory.” Word.ws, https://word.ws/galois_theory. Based on Wiktionary, CC BY-SA 4.0.