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Topology: Homomorphisms and Galois Theory
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Related lectures (30)
Galois Theory: Extensions and Residual Fields
Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.
Galois Theory: Recap and Transitivity
Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.
Decomposition & Inertia: Group Actions and Galois Theory
Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.
Automorphism Groups: Trees and Graphs III
Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.
Topology: Lecture Notes 2021
Covers polygonal performance, homomorphisms, and the Klein bottle in topology.
Galois Theory: The Galois Correspondence
Explores the Galois correspondence and solvability by radicals in polynomial equations.
Galois Theory Fundamentals
Explores Galois theory fundamentals, including separable elements, decomposition fields, and Galois groups, emphasizing the importance of finite degree extensions and the structure of Galois extensions.
Ramification and Structure of Finite Extensions
Explores ramification and structure of finite extensions of Qp, including unramified extensions and Galois properties.
Galois Correspondence
Covers the Galois correspondence, relating subgroups to intermediate fields.
Dimension Theory of Rings
Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.
Algebras and Field Extensions
Introduces algebras over a field, k-linear endomorphisms, and commutative algebras.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
Manifolds: Charts and Compatibility
Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.
Finite Degree Extensions
Covers the concept of finite degree extensions in Galois theory, focusing on separable extensions.
Topology: Continuous Deformations
Explores continuous deformations in topology, emphasizing the preservation of shape characteristics during transformations.
Topology Seminar: Tower Sequences and Homomorphisms
Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.
Galois Theory of Qp
Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
Classification of Extensions
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Galois Theory: Solvability and Radical Extensions
Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.
Seifert van Kampen: the point
Focuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.
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