Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Covers the fundamental concepts of group theory and examples of real numbers and permutations.
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
