Combinatorial Group Theory

Code: MA724 | L-T-P-C: 4-0-0-8

MA724 Combinatorial Group Theory[4-0-0-8] Prerequisites: MA521 Modern Algebra

Generators and Relations, Free groups, Subgroups of a free group, Presentation of groups, Dehn's fundamental problems, Tietze transformations, Cayley graph of a group, Free products, Generalized free products, HNN extensions, Wreath Products, Commutator calculus, Residual Properties.

Texts:

1. Baumslag, G., Topics in Combinatorial Group Theory, Lecture Notes.
2. Magnus, Karrass and Solitar, Combinatorial Group Theory, Dover, 1976.
3. Lyndon and Schupp, Combinatorial Group Theory, Springer 1977.
4. Johnson D.L., Presentation of Groups, LMS Series, CUP 1990.