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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.]
(Mathematics) maths the theory applying group theory to solving algebraic equations
[C19: named after Évariste Galois (1811–32), French mathematician]