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 $1870$.
Sources
- 1966: Richard A. Dean: Elements of Abstract Algebra ... (previous) ... (next): $\S 1.1$: Introduction
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Introduction
- 1996: John F. Humphreys: A Course in Group Theory ... (previous) ... (next): Chapter $9$: Permutations: Summary for Chapter $9$