Direct Sums: Abelian GroupsExplores the concept of direct sums in abelian groups, emphasizing the universal property and homomorphisms.
Conjugation in GroupsExplores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.
Finite Abelian GroupsCovers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
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.
