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Related lectures (51)

Sylow Subgroups: Group Theory Log in to Mediaspace to watch this video

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Direct Sums Arithmetic Log in to Mediaspace to watch this video

Explores the arithmetic of direct sums in group theory, discussing conditions for equality.

Quotient Groups: Homomorphisms and Isomorphisms Log in to Mediaspace to watch this video

Explores quotient groups, homomorphisms, isomorphisms, and push-outs in different categories.

Group Theory Basics Log in to Mediaspace to watch this video

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Manifolds: Charts and Compatibility Log in to Mediaspace to watch this video

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Ringed Spaces: Definitions and Properties Log in to Mediaspace to watch this video

Covers the definitions and properties of ringed spaces, including morphisms and examples of locally ringed spaces.

Cardinality and Group Theory Log in to Mediaspace to watch this video

Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.

Groupes résolubles Log in to Mediaspace to watch this video

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

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.

Quotients of Groups by Relations of Equivalence Log in to Mediaspace to watch this video

Explores quotients of groups by equivalence relations and the conditions for well-defined sets.

Group Theory: Isomorphism and Semi-Direct Product Log in to Mediaspace to watch this video

Covers group theory concepts like isomorphism and semi-direct product through examples and proofs.

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