Group Theory: Free Abelian Groups

Related lectures (31)

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Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Explores the Hom functor for abelian groups and its relation to direct sums.

Explores free abelian groups, homomorphisms, and exact sequences in group theory.

Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.

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

Covers special cases in group theory, focusing on group actions and functors.

Explores operations on abelian groups, Homomorphisms, adjoints, and morphisms in group theory.

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

Explores direct sums in group theory, focusing on abelian groups and their implications.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.