Provides a recap of group theory, defining a group as a set with a multiplication operation.
Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the concept of morphism of groups, actions on sets, and automorphisms.
Explores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
