Definition:Group/Historical Note

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Historical Note on Group

The term group was first used by Évariste Galois in $1832$, in the context of the solutions of polynomials in radicals. Augustin Louis Cauchy was also involved in this development.

The concept of the group as a purely abstract structure was introduced by Arthur Cayley in his $1854$ paper On the theory of groups.

The first one to formulate the set of axioms to define the structure of a group was Leopold Kronecker in $1870$.