Lecture

Abélianization: Fundamental Groups

Related lectures (32)
Algebraic Kunneth Theorem
Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.
Group Cohomology
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Group Homomorphisms: Kernels, Images, and Normal Subgroups
Explores group homomorphisms, kernels, images, and normal subgroups, using the dihedral group D_n as an example.
Linear Algebra: Equivalence and Calculations
Explains equivalence in linear algebra and set calculations with illustrative examples.
Division Rings and Ideals
Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.
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.
Ring Constructions: Structure Theorems
Explores operations on ideals and structure theorems in commutative rings.
Congruence Relations in Rings
Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.
Commutative Rings and Fields
Covers commutative rings, fields, injective morphisms, characteristic, Frobenius, and binomial theorem.
Linear Algebra: Modules and Endomorphisms
Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

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.