Conjugation in GroupsExplores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Finite Abelian GroupsCovers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
Finite Abelian Groups & RingsExplores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.
Singular homologyIntroduces singular homology, defining singular simplices and explaining the chain complex construction.
