Applied and Computational Mathematics

Special Issue

The Resolution of Algebraic Equations and Galois Theory

  • Submission Deadline: Jun. 30, 2024
  • Status: Open for Submission
  • Lead Guest Editor: Francesca Maria Gasparini
About This Special Issue
This Special Issue would collect main ideas about how algebraic equations meet Galois Theory and what mathematical instruments of this theme of research can act for the resolution of algebraic equations. In this context, the study of Galois groups and symmetric polynomials. Then, permutation groups and properties describe polynomial equations, solvable by radicals and the roots may express by a formula involving only integers and the four basic arithmetic operations. The constructions of regular polygons could be added in this collection of multidisciplinary research. It is also possible to deal with generalizations and extensions of Galois Theory, namely, to expose results on Galois connections and Grothendieck’s Galois theory as applications to classical problems.Starting from symmetric functions, we will encounter typical historical geometric problems challenging mathematics worldwide. These topics assume great modern importance through the field theory, the inverse Galois problem and inseparable extension concepts. Finally, differential graded algebras intertwine in deformation theory, fascinating elementary algebraic equations.

Potential topics include, but are not limited to:

  1. Galois Theory
  2. Galois Connections
  3. Grothendieck’s Galois theory
  4. Deformation theory
Lead Guest Editor
  • Francesca Maria Gasparini

    Department of Mathematical Sciences, Polytechnic University of Turin, Turin, Italy

Guest Editors
  • Omar Kebiri

    Department of Stochastics and Its Applications, Institute of Mathematic, Brandenburgische Technische Universität Cottbus, Brandenburg, Germany

  • Fatma Özköse

    Department of Mathematics, University of Erciyes, Kayseri, Turkey

  • Prof. Dr. Pankaj Kumar

    Department of Mathematics, SRM Institute of Science and Technology, Chennai, India

  • Onur Baysal

    Department of Mathematics, University of Malta, Msida, Malta

  • Supriya Devi

    Department of Mathematics, University of Alliance, Bangalore, India

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