Syllabus
1. Basic structural features (subgroups, homomorphisms, products) 2.
Group actions on a set, on itself. 4. The structure of finite groups (class equation, p-groups, Sylow theorems) 5.
Subnormal series (Zassenhaus lemma, Jordan-Holder theorem, solvability, nilpotence) 6. Abelian groups - free abelian groups, finitely generated abelian groups 7.
Free groups, Nielsen-Schreier theorem.
Annotation
A recommended course on group theory for specialization Mathematical Structures within General Mathematics.