Applications of Lagrange's TheoremExplores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.
Group HomomorphismsExplores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
