Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Introduces combinatorial group theory, emphasizing group presentations, normal subgroups, and group quotients.
Delves into the second isomorphism theorem in group theory, emphasizing subgroup relationships and quotient groups.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
