ABSTRACT
The origin of group theory is almost two-and-a-half centuries back. Lagrange, Abel and Galois are considered the founding workers in the field of group theory. A treatise on theories des fonctions analytiques by Joseph-Louis Lagrange laid some of the foundations of the group theory; of course, it was not named as group theory at that time. It was followed by work of Niels
root of quintic equation or higher. To solve this, he invented an important branch of chemistry, which is now known as group theory. However, the credit of the foundation of group theory goes to Evariste Galois as he was the first to use the term Group (in French Groupe). Group theory is a branch of algebra. Basic applications of group theory were for some puzzles, like 15-puzzle and Rubik’s cube.
