Torsion: Hom Functoriality and Exact Sequences

Related lectures (30)

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

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

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

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

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

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Presents the Lemma of the Five, a fundamental result in group theory.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

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

Covers the concepts of torsion and divisibility in group theory.