Course Content (Syllabus)
• Free group Fn of finite rank n (definition, construction, properties of Fn), Free abelian group of finite rank n, Free nilpotent group of finite rank n, Nielsen-Schreier Theorem, the automorphism group of Fn, IA-automorphisms of Fn.
• Lie algebras (Preliminaries, construction of free Lie algebra of finite rank, basis, subalgebras of free Lie algebra, Free associative algebra, Construction of Lie algebra via group, The Johnson Lie algebra L(IA(Fn)), Andreadakis’ conjecture.