Marie Ennemond Camille Jordan was a French mathematician known for his foundational work in group theory and for bringing Galois theory into mainstream mathematics through his 1870 treatise Traite des substitutions. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
BirthplaceLa Croix-Rousse, Lyon, France 1 Nationality / Culture Defining ContributionJordan proved in 1861 that the theorem bearing Lagrange's name, that a subgroup's order divides its group's order, holds for all permutation groups, generalizing the special case Lagrange had stated. 2 Notable WorkProved the Jordan curve theorem and made foundational contributions to group theory (the Jordan-Holder theorem). 1 AwardPoncelet Prize (1870); elected to the Academie des Sciences (1881); Officer of the Legion d'Honneur (1890); Foreign Member of the Royal Society (1919). 1 Connections
Proofs Credited
Jordan proved the theorem for all permutation groups in 1861, generalizing Lagrange's original special case.
Source Lagrange's Theorem, Group Theory (Wikipedia)
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- Also in Geography Atlas: France, nationality there.
Sources
1. Camille Jordan (Wikipedia)
Wikimedia Foundationlead paragraph
was a French mathematician, known both for his foundational work in group theory
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French mathematician
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Marie Ennemond Camille Jordan ... was a French mathematician
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He was an engineer by profession; later in life he taught at the Ecole polytechnique and the College de France
honors/awards section
The asteroid 25593 Camillejordan and the Institut Camille Jordan are named in his honour.
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Marie Ennemond Camille Jordan was a French mathematician, known both for his foundational work in group theory and for his textbook Cours d'analyse de l'Ecole polytechnique.
View the Source 2. Lagrange's Theorem, Group Theory (Wikipedia)
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the generalization to abstract groups came later through the work of Gauss (1801), Cauchy (1844), and finally Camille Jordan (1861), who proved it for all permutation groups
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