## Galois theory

[gal wä**′**]

a branch of algebra that determines if an algebraic equation can be solved in terms of radicals

Origin of Galois theory

after E.*Galois*(1811-32), French mathematician

## Galois theory

noun

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.

Origin of Galois theory

After Évariste*Galois*,

*(1811–1832), French mathematician*.

## Galois theory

Noun

(*uncountable*)

- The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations.

Origin

Named after Evariste Galois.