Solvable Groups: Part 1Covers the concept of solvable groups and their decomposition into abelian pieces, exploring various properties and examples.
Group PresentationsCovers the concept of group presentations using generators and relations to define groups.
Second Isomorphism TheoremDelves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.
Push-out and QuotientsDelves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.
Combinatorial Group TheoryIntroduces combinatorial group theory, emphasizing group presentations, normal subgroups, and group quotients.
Symmetries in PhysicsExplores symmetries in physics through group theory, emphasizing how symmetries keep equations of motion unchanged.
Group Theory: IntroductionCovers group theory fundamentals, motivations for studying group actions, equivalent definitions, and subsets associated with group actions.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Group Theory BasicsIntroduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Finite Abelian GroupsCovers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
