Lecture

Irreducible Polynomials and Finite Fields

In course

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Description

This lecture covers the concept of irreducible polynomials, including Eisenstein's criterion and properties of finite fields. It discusses the group of units in a finite field being cyclic and the existence of finite fields of prime order. The lecture also explores the uniqueness of finite fields and the construction of fields using irreducible polynomials.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_rt3j6t46

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Polynomials, Representation theory

Education

Educational stages: Higher education

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