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Concept

Divisible group

Related lectures (30)

Torsion and Divisibility in Group Theory Log in to Mediaspace to watch this video

Explores the relationship between p-torsion and p-divisibility in group theory, highlighting implications of p-divisibility in exact sequences of abelian groups.

Injective Modules: Ox-Modules and Injectives Log in to Mediaspace to watch this video

Covers injective modules, Ox-modules, and their relevance in algebraic structures, emphasizing their importance in resolving acyclic resolutions and computing cohomology.

Torsion and Divisibility: Abelian Groups Log in to Mediaspace to watch this video

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

Group Theory: Torsion and Divisibility Log in to Mediaspace to watch this video

Covers the concepts of torsion and divisibility in group theory.

Abelian p-groups: Groupes abéliens Log in to Mediaspace to watch this video

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

Quotients in Abelian Groups Log in to Mediaspace to watch this video

Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.

Mathematical Analysis: Functions and Composition Log in to Mediaspace to watch this video

Covers the analysis of functions, composition, and mathematical induction.

Abelian Groups: Free Abelian Groups Log in to Mediaspace to watch this video

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

Torsion: Hom Functoriality and Exact Sequences Log in to Mediaspace to watch this video

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

Sheaves: Hartshorne I.1 Log in to Mediaspace to watch this video

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.