Adjoints of Restriction Functor

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

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

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

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

Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.

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.

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Delves into the categorical framework for group actions and the correspondence between G-actions on c and functors from BG to C.

Introduces functors in category theory and explains their composition.