Groupes résolubles

This lecture covers the concept of solvable groups, introducing a sequence of subgroups leading to the group itself. It explores examples of solvable groups and actions of groups, emphasizing the resolution of cycles in symmetric groups. The lecture also delves into the notion of normalizers and stabilizers within groups, showcasing the importance of these concepts in group theory. Additionally, it discusses the properties of group actions in different categories, such as groups of automorphisms. The presentation concludes with a detailed analysis of fixed points and stabilizers in group actions.