On some properties of solvability of polynomials by radicals

Abstract

The first section provides a brief history of advancements in solvability by radicals. In chapter 1, we begin by introducing a few elementary concepts ill field theory and the key items needed in solvability by radicals. Chapter 2 introduces the concepts of Galois theory which are also key to the study of solvability by radicals. Symmetric functions are also part in the second chapter to further concepts in Galois theory. The third chapter discusses solvability by radicals and gives explicitly when exactly this possible