“Finite p-groups: the basics, generators, and automorphisms” (10 lectures) given by Prof. Gustavo A. Fernandez Alcober (University of the Basque Country, Bilbao, Spain).
Program:
1. Basic theory of finite p-groups.
2. Some special families of finite p-groups.
3. Generators of finite p-groups: the Frattini subgroup and the Burnside Basis Theorem.
4. Power-commutator presentations of finite p-groups.
5. Constructing automorphisms: von Dyck’s theorem.
6. General structure of the automorphism group of a finite p-group
7. Automorphism groups of some known p-groups
8. Existence of outer automorphisms
9. Open problems about automorphism groups
