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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture explores the concept of push-out and quotients in group theory from a categorical perspective, focusing on homomorphisms, normal subgroups, and the unique homomorphisms between groups. The instructor presents Proposition 2.5, which establishes the push-out of a group homomorphism. Various proofs are provided to demonstrate the properties of push-outs and their relation to normal subgroups. The lecture concludes with a discussion on the categorical study of quotients and previews the upcoming exploration of isomorphism theorems.