Group Presentations: Abelian Groups

Related lectures (31)

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

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

Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Explores exact sequences of abelian group homomorphisms and provides examples.

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

Explores torsion and divisibility in abelian groups, including p-divisible groups and their contrast with torsion elements.

Explores free abelian groups, homomorphisms, and exact sequences in the context of different categories.

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

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.