Direct Sums in Abelian Groups

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Direct Sums of Abelian Groups Log in to Mediaspace to watch this video

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.

Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products Log in to Mediaspace to watch this video

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

Conjugation in Groups Log in to Mediaspace to watch this video

Explores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.

Group Algebra: Maschke's Theorem Log in to Mediaspace to watch this video

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Finite Abelian Groups Log in to Mediaspace to watch this video

Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.

Untitled Log in to Mediaspace to watch this video

Direct Products in Group Theory Log in to Mediaspace to watch this video

Explores direct products in group theory, including semi-direct products and group properties.

Finite Abelian Groups & Rings Log in to Mediaspace to watch this video

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Singular homology Log in to Mediaspace to watch this video

Introduces singular homology, defining singular simplices and explaining the chain complex construction.

Representation Theory: Algebras and Homomorphisms Log in to Mediaspace to watch this video

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Group Presentations: Abelian Groups Log in to Mediaspace to watch this video

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

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Static Structures: Analyzing Hyperstatic Systems Log in to Mediaspace to watch this video

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Structure of Algebras Log in to Mediaspace to watch this video

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Bricks & Masonry: Materials, Manufacture, and Historical Context Log in to Mediaspace to watch this video

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