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.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Sylow Subgroups: Group TheoryExplores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.