Functor Hom: Abelian Groups

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Group Direct Sums in Group Theory

Explores direct sums in group theory, focusing on abelian groups and their implications.

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Concrete Categories

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Functors: Definition

Introduces functors in category theory and explains their composition.

Direct Sums: Abelian Groups

Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.

Categories and Functors: An Introduction

Provides an overview of categories, functors, and natural transformations in mathematics.

Group Theory: Verification

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

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Endomorphisms and automorphisms of totally disconnected locally compact groups V

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.

Group Actions: Equivariance and Functors

Explores equivariance in group actions and functors, demonstrating its importance in group theory.