English

La R\'esolvante de Lagrange et ses Applications

Symbolic Computation 2009-04-27 v1

Abstract

In this paper, the changes of representations of a group are used in order to describe its action as algebraic Galois group of an univariate polynomial on the roots of factors of any Lagrange resolvent. By this way, the Galois group of resolvent factors are pre-determinated. In follows, different applications are exposed; in particular, some classical results of algebraic Galois theory.

Cite

@article{arxiv.0904.3827,
  title  = {La R\'esolvante de Lagrange et ses Applications},
  author = {Annick Valibouze},
  journal= {arXiv preprint arXiv:0904.3827},
  year   = {2009}
}

Comments

26 pages

R2 v1 2026-06-21T12:54:44.763Z