Group Theory: IntroductionCovers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.
Applications of Lagrange's TheoremExplores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.
Group Presentation of S3Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.