Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Group Actions on SetsExplores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Group Theory BasicsIntroduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.