Group Theory: Torsion and Divisibility

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Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

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

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

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

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

Explores the construction of G-sets and left adjoint functors in category theory.