Applications of Lagrange's TheoremExplores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.
Group Theory: IntroductionCovers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
