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Related lectures (31)

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.

Groups: Definitions, Properties, and Homomorphisms Log in to Mediaspace to watch this video

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Group Theory: Subgroups and General Group Actions Log in to Mediaspace to watch this video

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

Powers and Multiples: Subgroups and Stabilizers Log in to Mediaspace to watch this video

Covers powers, multiples, subgroups, and stabilizers in group theory.

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.

Subgroups and Generators Log in to Mediaspace to watch this video

Covers subgroups, generators, cyclic groups, and group morphisms in group theory.

Untitled Log in to Mediaspace to watch this video

Group Actions: Examples and Applications Log in to Mediaspace to watch this video

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Direct Sums Arithmetic Log in to Mediaspace to watch this video

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

Dihedral Group: Symmetries and Cosets Log in to Mediaspace to watch this video

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.

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