Group theory is abstract algebra or modern algebra. Generally, there are many tables to learn at this stage. Group theory is widely used in physics and is a tool to describe symmetry. It also plays a very basic role in many other branches of mathematics, such as algebraic topology.

Introduction:

Modern algebra is abstract algebra. Algebra is a branch of mathematics, which can be roughly divided into elementary algebra and abstract algebra. Elementary algebra refers to the theory of algebraic equations developed before the first half of19th century. This paper mainly studies whether an algebraic equation (group) is solvable, how to find all the roots (including approximate roots) of the algebraic equation, and what properties the roots of the algebraic equation have.

French mathematician Galois1811832 used the idea of "group" in1832 to completely solve the possibility of solving rooted polynomial equations. He was the first mathematician who put forward the concept of "group" and is generally called the founder of modern algebra. He changed algebra from the science of solving algebraic equations to the science of studying algebraic operation structure, that is, he pushed algebra from elementary algebra to abstract algebra, that is, modern algebra.