After the new impulse given to the theory of algebraic equations by the discoveries of Lagrange and Vandermonde in 1770, Ruffini tried to solve the problem where Lagrange had left it, i.e., proved the impossibility of solving by radicals the general equation of the fifth degree. His proof still remains unclear but nevertheless is very similar to the proof obtained by Abel later. Looking for new types of equations solvable by radicals, the latter reached the conception of "abelian" extensions and showed the solvability by radicals in this case. He defined the notion of irreducible polynomials over a given field. After him, Galois defined what was to be called the Galois group of a polynomial and showed that a polynomial is solvable by radicals if its Galois group is solvable. [...]
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.117572 |
| Date | January 1965 |
| Creators | Cohen, Gerard Elie. |
| Contributors | Connell, I. (Supervisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science. (Department of Mathematics. ) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: NNNNNNNNN, Theses scanned by McGill Library. |
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