Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Free Groups: groups defined by generators and relations, the graph
of a group.
- Factor groups and subgroups: word groups, reduced free groups,
presentations, subgroups of a free group.
- Nielsen transformations: Reduction process, automorphisms of free
groups.
- Free products and amalgamation: Universal property of a product.
Categorical definitions. HNN extensions.
- Commutator calculus. Lower central series. Lie elements.
Baker-Hausdorff formula.
- Discrete subgroups of Lie groups.
- Mapping Class groups.
- Groups and Trees.
- W. Magnus, A. Karrass, D. Solitar Combinatorial Group
Theory, Dover Books on Mathematics, 2004.
- R. C. Lyndon, P. E. Schupp, Combinatorial Group Theory, Classics
in Mathematics, Springer, 1977.
- D. J. S. Robinson, A course in the Theory of Groups, Graduate
Texts in Mathematics 80, Springer-Verlag, 1995.
- M. S. Raghunathan, Discrete Subgroups of a Lie Group, Springer
Verlag.
- J. Birman, Mapping Class groups, Princeton University Press.
- J. P. Serre, Trees, Wiley Press.
