Category:Galois theory

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Change propagation updates are pending (31680 jobs estimated) and it is recommended to wait with modifications to a category until the process has been finalized to prevent intermediary interruptions or contradictory specifications.

Template:Cat main

In mathematics, Galois theory is a branch of abstract algebra.

At the most basic level, it uses permutation groups to describe how the various roots of a given polynomial equation are related to each other. This was the original point of view of Évariste Galois.

The modern approach to Galois theory, developed by Richard Dedekind, Leopold Kronecker and Emil Artin, among others, involves studying automorphisms of field extensions. Script error: No such module "Side box".