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
In Branch
Source Camille Jordan (Wikipedia)
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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Nationality
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Source Camille Jordan (Wikipedia)Lead sentence 1tier 2Quote, Lead sentence 1
Marie Ennemond Camille Jordan (French: [ʒɔʁdɑ̃]; 5 January 1838 – 22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his textbook Cours d'analyse de l'École polytechnique.
Sources
1. Camille Jordan (Wikipedia)
Wikimedia Foundationlead paragraph
was a French mathematician, known both for his foundational work in group theory
infobox
French mathematician
opening biographical line
Marie Ennemond Camille Jordan ... was a French mathematician
Biography
He was an engineer by profession; later in life he taught at the École polytechnique and the Collège de France, where he had a reputation for eccentric choices of notation.
honors/awards section
The asteroid 25593 Camillejordan and the Institut Camille Jordan are named in his honour.
Lead section
Marie Ennemond Camille Jordan (French: [ʒɔʁdɑ̃]; 5 January 1838 - 22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his textbook Cours d'analyse de l'École polytechnique.
View the Source 2. Lagrange's Theorem, Group Theory (Wikipedia)
Wikimedia FoundationHistory sectionQuote, History section
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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