Lecture

Proof of Lagrange Theorem

Related lectures (35)
Fermat's Theorem: Sums of Squares
Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.
Dimension theory of rings
Covers the dimension theory of rings, including additivity of dimension and height, Krull's Hauptidealsatz, and the height of general complete intersections.
Fermat's Equation: Integral Solutions and Gaussian Integers
Discusses Fermat's equation and Gaussian integers' properties.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Factorisation in Principal Ideal Domains
Explores factorisation in Principal Ideal Domains and the properties of prime numbers.
Additivity of Dimension & Height
Explores the additivity of dimension and height in a finitely generated k-algebra domain, showcasing its applications and implications.
Division Rings and Ideals
Covers division rings, fields, and ideals in commutative rings with examples in Z and quaternions.
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Finite Fields: Construction and Properties
Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.
Class Number Formula
Explores the Class Number Formula in number theory, focusing on Lemmas, Proofs, and a significant theorem.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.