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.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Galois theory

(ˈɡælwɑː)
n
(Mathematics) maths the theory applying group theory to solving algebraic equations
[C19: named after Évariste Galois (1811–32), French mathematician]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Galois theory - group theory applied to the solution of algebraic equations
math, 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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Topics in applications include solvability by radicals, cyclotomic extensions, geometric constructions and finite fields.