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Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Symmetry in ChemistryExplores symmetry in chemistry, covering reflection planes, dihedral groups, cubic groups, and geometric shapes.
Group HomomorphismsExplores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Group Theory in PhysicsCovers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.