Introductory Essentials to Finite Fields | Chapter 2 | Finite Abelian Groups, Elliptic Curves, Blockchain with Hashing and Graphs

 

This study starts with questions about the construction of extension, splitting and finite fields. Then, we move to cyclotomic polynomials as we need some of their properties in the final part of our proof to Wedderburn’s theorem. We also discuss the cyclicity of the multiplicative group over a finite field, and then we present results on the factorization of polynomials over a finite field. Finally, the chapter includes 25 exercises on this topic, some of which belong to ”Agregation.

 

 

Author(s) Details

 

Seddik Abdelalim
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

 

Ilias Elmouki
LMFA, FSAC, University Hassan II of Casablanca, Morocco.

 

Noreddine Abghour
LIS Labs, FSAC, University Hassan II of Casablanca, Morocco.

 

Please see the book here:- https://doi.org/10.9734/bpi/mono/978-81-992493-9-4/CH2