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Lecture
Group Theory: Special Cases
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Related lectures (31)
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Classification of Extensions
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Groups: Definitions, Properties, and Homomorphisms
Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Active Learning Session
Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.
Group Theory: Restriction Functor
Explores the restriction functor in group theory, focusing on its properties.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Group Theory Basics
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Amalgams: Group Pushouts
Covers the concept of amalgams, defining pushouts and quotient groups in group theory.
Group Actions: Examples and Applications
Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.
Relation between Direct Sum and Hom
Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.
