Lecture

Functors and Homomorphisms in Group Theory

Related lectures (43)
Group Cohomology
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Functor Hom: Abelian Groups
Explores the Hom functor in Abelian groups, focusing on its construction and properties.
Free Abelian Groups and Homomorphisms
Explores free abelian groups, homomorphisms, and exact sequences in the context of different categories.
Group Theory: Special Cases
Covers special cases in group theory, focusing on group actions and functors.
Adjoints of Restriction Functor
Covers the adjoints of the restriction functor in group theory.
Group Theory: Free Abelian Groups
Explores free abelian groups, homomorphisms, exact sequences, and functors in group theory.
Hom Functor: Abelian Groups
Explores the Hom functor for abelian groups and its relation to direct sums.
Group Actions: Theory and Examples
Explores concrete examples of group actions on sets, focusing on actions that do not change the set.
Functors: Definition
Introduces functors in category theory and explains their composition.
Natural Transformations: Functors and Categories
Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

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.