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.
Conjugation in GroupsExplores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.
Useful Lemmas for p-GroupsCovers useful lemmas for p-groups, including divisibility properties and the existence of specific elements in finite abelian groups.
Finite Abelian Groups & RingsExplores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.
Direct Sums: Lemme 1.2Delves into direct sums of abelian groups, showcasing their coproduct properties and universal verification.
