Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
