Definition:Group Theory

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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.