Exam Information

Related lectures (32)

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Covers group quotient, group actions, and functors connecting sets and G-sets.

Introduces the theory of categories through examples and discusses the product of categories.

Provides an overview of categories, functors, and natural transformations in mathematics.

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

Explores the epsilon transformation in group theory and category theory, emphasizing linearity and naturality.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Introduces an important generalization of category equivalence and its implications for group theory.

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Explores group actions, defining functors on groups, and verifying properties of group actions.

Explores the construction of G-sets and left adjoint functors in category theory.