Mathematics Atlas

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Mathematicians

Camille Jordan

Also Known As Marie Ennemond Camille Jordan
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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.

Facts
Birth Date
1838-01-05 1
Birth Year
1838 1
Death Date
1922-01-22 1
Death Year
1922 1
Birthplace
La Croix-Rousse, Lyon, France 1
Death Place
Paris, France 1
Nationality / Culture
French 1
Defining Contribution
Jordan 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 Work
Proved the Jordan curve theorem and made foundational contributions to group theory (the Jordan-Holder theorem). 1
Award
Poncelet Prize (1870); elected to the Academie des Sciences (1881); Officer of the Legion d'Honneur (1890); Foreign Member of the Royal Society (1919). 1
Cross-Tradition Connections

Proofs Credited

Jordan proved the theorem for all permutation groups in 1861, generalizing Lagrange's original special case.

Sources
1. Camille Jordan (Wikipedia)
Wikimedia Foundationlead paragraph
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was a French mathematician, known both for his foundational work in group theory
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1. Camille Jordan (Wikipedia)
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French mathematician
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1. Camille Jordan (Wikipedia)
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Marie Ennemond Camille Jordan ... was a French mathematician
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1. Camille Jordan (Wikipedia)
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He was an engineer by profession; later in life he taught at the Ecole polytechnique and the College de France
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1. Camille Jordan (Wikipedia)
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The asteroid 25593 Camillejordan and the Institut Camille Jordan are named in his honour.
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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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