How To Use Galois theory In A Sentence
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A number of ancient problems concerning Compass and straightedge constructions were finally solved using Galois theory.
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Betti extended and gave proofs relating to the algebraic concepts of Galois theory.
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In particular he worked on Galois theory, ideals and equations of the fifth degree.
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Almost simultaneously with Finn's development of Automatic Generation of Hypotheses, German mathematicians Rudolf Wille and Bernhardt Ganter were developing an aspect of Galois Theory and lattice theory (the latter being, as was said, Peirce's invention) that came to be known as “Formal Concept Analysis.”
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She believed that in order to get students excited about mathematics, it was essential to teach the revolutionary aspects of such fields as Galois theory of groups, non-Euclidean geometry, and modern logic.
Lillian R. Lieber.
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- Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity.
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His interests in research relate to finite geometries and the group theory related to them, to Cremona transformations related to the Galois theory of equations.
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He made major contributions to the inverse problem of Galois theory as well as to class field theory, thereby solving some long outstanding conjectures.