Definition:Group Theory/Historical Note

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Historical Note on Group Theory

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.

Nowadays group theory permeates most of modern algebra, and has important applications in such fields as crystallography and quantum mechanics.