Morphism of GroupsCovers the concept of morphism of groups, actions on sets, and automorphisms.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Group Theory BasicsIntroduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Group HomomorphismsExplores group homomorphisms, isomorphisms, and generators in abstract algebra.
Groups and ProductsCovers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.
Visualizing Fourth DimensionExplores visualizing the Fourth Dimension and introduces vector spaces, linear applications, and transformations.
Isomorphism in CategoriesCovers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.