Lecture

Finite Fields and Vector Spaces

In course

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Description

This lecture covers the concept of finite fields, focusing on the additive order and characteristic of fields, as well as isomorphisms between finite fields. It also discusses properties of finite fields, field isomorphisms, and group isomorphisms. Additionally, it reviews vector spaces over finite fields, emphasizing operations like addition and scalar multiplication. The lecture provides examples, exercises, and solutions to deepen understanding.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_5472jdmf

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Linear algebra

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