# Galois theory

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## Ga·lois theory

(găl-wä′)*n.*

The part of algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. It gives conditions under which the solutions can be expressed in terms of addition, subtraction, multiplication, division, and of the extraction of roots.

[After Évariste Galois

*(1811-1832), French mathematician*.]## Galois theory

(ˈɡælwɑː)*n*

(Mathematics)

*maths*the theory applying group theory to solving algebraic equations[C19: named after Évariste

*Galois*(1811–32), French mathematician]ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | Galois theory - group theory applied to the solution of algebraic equationsmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement group theory - the branch of mathematics dealing with groups |

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