Applications of Lagrange's TheoremExplores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Symmetries in PhysicsExplores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.
Group HomomorphismsExplores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
