Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.
Covers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.
Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.
