Connected ComponentsCovers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Groupes résolublesExplores solvable groups, group actions, normalizers, and stabilizers in group theory.
Invariant DefinitionsExplores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Finite Abelian GroupsCovers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
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'.
