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Related lectures (50)

Categorical Perspective: Group Quotients Log in to Mediaspace to watch this video

Explores the categorical sense of constructing a group quotient by a normal subgroup, showing it as a specific example of a more general construction.

Reflection and Rotation Composition Log in to Mediaspace to watch this video

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Motivations for studying group actions Log in to Mediaspace to watch this video

Covers group actions, bijections, evaluations, translations, homomorphisms, and inverses within universal actions.

Group Theory: Quotients of Group Log in to Mediaspace to watch this video

Covers normal subgroups, quotient groups, homomorphisms, and the categorical viewpoint in group theory.

Galois Theory: Solvability and Radical Extensions Log in to Mediaspace to watch this video

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Introduction to Category Theory: Adjoint Functors Log in to Mediaspace to watch this video

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

Exam Information Log in to Mediaspace to watch this video

Covers details of the upcoming theoretical exam, including structure and guidelines.

Borcherds' Proof: Strategy Log in to Mediaspace to watch this video

Covers Borcherds' proof strategy, emphasizing the significance of simple roots and Weyl vectors.

Proof of Sylow Subgroup Properties Log in to Mediaspace to watch this video

Explores the properties of p-subgroups of Sylow in a group.

Active Learning Session Log in to Mediaspace to watch this video

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

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