Group Theory: BasicsCovers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group Theory: IntroductionCovers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.
Second Isomorphism TheoremDelves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.
Combinatorial Group TheoryIntroduces combinatorial group theory, emphasizing group presentations, normal subgroups, and group quotients.
Applications of Lagrange's TheoremExplores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.
