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History
Galois theory
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In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to group theory, which makes them simpler and easier to understand.
A portrait of Évariste Galois aged about 15
A portrait of Évariste Galois aged about 15
Évariste Galois
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Évariste Galois was a French mathematician and political activist. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a problem that had been open for 350 years. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra.
A portrait of Évariste Galois aged about 15
A portrait of Évariste Galois aged about 15
The Cour d'honneur of the Lycée Louis-le-Grand, which Galois attended as a boy.
The Cour d'honneur of the Lycée Louis-le-Grand, which Galois attended as a boy.
Augustin-Louis Cauchy reviewed Galois's early mathematical papers.
Augustin-Louis Cauchy reviewed Galois's early mathematical papers.
Battle for the Town Hall by Jean-Victor Schnetz. Galois, as a staunch republican, would have wanted to participate in the July Revolution of 1830 but
Battle for the Town Hall by Jean-Victor Schnetz. Galois, as a staunch republican, would have wanted to participate in the July Revolution of 1830 but was prevented by the director of the École Normale.