Lectures related to Centralizer, normalizer, and center

Explores homomorphisms, isomorphisms, group properties, and their applications through examples and exercises.

Covers the construction of push-outs in the category Ens and philosophical concepts of universality and co-universality.

Explores the concept of free abelian groups as an important left adjoint functor.

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Explores isomorphic groups, bijective morphisms, and their applications in group theory.

Explores homotopical algebra, covering colimits, limits, adjunctions, and their applications in group theory.

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