# Definition:Group Theory

## Definition

Group Theory is a branch of abstract algebra which studies groups and other related algebraic structures.

## Also see

• Results about group theory can be found here.

## Historical Note

The field of group theory was initiated by Évariste Galois as a consequence of his work on establishing the general solubility criteria of polynomials in radicals.

Group theory was originally called the theory of substitutions until Arthur Cayley's $1854$ paper On the theory of groups in which he introduced the concept of the abstract group.