Quotient Groups and Push-outs

Related lectures (32)

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Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Covers the construction and universal properties of pushouts in group theory.

Explores direct sums in group theory, focusing on abelian groups and their implications.

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores group operations with cyclic properties and the universal ownership of quotients.

Covers the concepts of torsion and divisibility in group theory.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Explores the uniqueness of push-outs in group quotients, focusing on specific cases and implications.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.