In mathematics, Galois theory is that branch of abstract algebra which studies the symmetries of the roots of polynomials. In other words, the Galois theory is the study of solutions to polynomials and how the different solutions are related to each other. Symmetries are usually expressed in terms of symmetry groups, and in fact the very notion of a group was invented by Evariste Galois to describe symmetries of roots. Galois connections describe special relations between partially ordered sets.

Articles in category "Galois theory"