Active Learning: Homomorphisms and Exact Sequences

Related lectures (31)

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Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Explains split exact sequences in abelian groups, emphasizing the role of sections and retractions.

Explores the symmetric group, emphasizing cycle notation and group properties.

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Explores the concept of abelian groups and their group homomorphisms.

Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.