Related lectures (36)
Categorical Perspective: Abelian Groups
Explores abelian groups from a categorical perspective, discussing the coproduct construction.
Proof of Sylow Subgroup Properties
Explores the properties of p-subgroups of Sylow in a group.
Existence of Sylow Subgroups: Proof by Recurrence
Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.
Social Psychology: Intergroup Relations
Explores intergroup discrimination mechanisms and the impact of social support.
Free Actions, Ch III: Group Actions
Explains the concept of free actions and their preservation properties in group theory.
Fixed Points and Orbits Analysis: Group Actions
Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.
Group Formation & Ethnocentrism
Examines group formation, social identity, stereotypes, and ethnic conflicts, emphasizing the impact of ethnocentrism and urban environments.
Introduction to Categories: Products and Coproducts
Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.
Restriction Functors: Group Actions
Introduces the concept of restriction functors in group actions.
Introduction to Category Theory: Adjoint Functors
Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

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