Jordan’s Traité

  • Jeremy Gray
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


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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  2. Jordan, C.: Commentaire sur Galois. Math. Ann. 1, 142–160 (1869); in Oeuvres 1, 211–230Google Scholar
  3. Wussing, H.: The Genesis of the Abstract Group Concept, transl. A. Shenitzer. MIT Press, Cambridge (1984)zbMATHGoogle Scholar

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Jeremy Gray
    • 1
    • 2
  1. 1.School of Mathematics and StatisticsThe Open UniversityMilton KeynesUK
  2. 2.Mathematics InstituteUniversity of WarwickCoventryUK

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