Abstract
The book that established group theory as a subject in its own right in mathematics was the French mathematician Jordan’s Traité des Substitutions et des Équations Algébriques of 1870. In this chapter, we look at what that book contains, and how it defined the subject later known as group theory.
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Notes
- 1.
This group only acquired its name after Klein’s work in the late 1870s, but it was known earlier.
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- 3.
For a translation of the book’s preface, see Appendix D.
References
Galois, É.: Sur la théorie des nombres. Bull. Sci. Math. Phys. Chim. 13, 428–435 (1830); rep. in (Galois 1846, 398–405) and in (Neumann 2011, 61–75)
Jordan, C.: Commentaire sur Galois. Math. Ann. 1, 142–160 (1869); in Oeuvres 1, 211–230
Wussing, H.: The Genesis of the Abstract Group Concept, transl. A. Shenitzer. MIT Press, Cambridge (1984)
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Gray, J. (2018). Jordan’s Traité . In: A History of Abstract Algebra. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-94773-0_13
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DOI: https://doi.org/10.1007/978-3-319-94773-0_13
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