Group Presentations: Abelian Groups

Related lectures (31)

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Introduces torsion and divisibility concepts in abelian groups to describe their structure.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

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

Covers useful lemmas for p-groups, including divisibility properties and the existence of specific elements in finite abelian groups.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

Delves into group theory, emphasizing the centralizer of elements and the classification of finite abelian groups.

Covers the definition of solvable groups and the abelian property of group quotients.

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

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.