Galois theory Évariste Galois

galois significant contribution mathematics development of galois theory. realized algebraic solution polynomial equation related structure of group of permutations associated roots of polynomial, galois group of polynomial. found equation solved in radicals if 1 can find series of subgroups of galois group, each 1 normal in successor abelian quotient, or galois group solvable. proved fertile approach, later mathematicians adapted many other fields of mathematics besides theory of equations galois applied it.