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Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
Delves into homotopy identification, pushout diagrams, colimits, and group fundamental calculations.
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 chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.
Introduces combinatorial group theory, emphasizing group presentations, normal subgroups, and group quotients.
