Lecture

Finite Fields and Group Theory

In course

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Description

This lecture covers solutions of the 2018 exam, including finding the greatest common divisor of polynomials in a finite field, exploring finite groups, congruences in rings, ideals, and the structure of symmetric and cyclic groups. The instructor explains irreducibility of polynomials in Q[X] and demonstrates the application of the Chinese remainder theorem in solving systems of congruences.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_burqf7yn

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Representation theory, Polynomials

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