Combinatorial Methods - Free Groups, Polynomials, and Free Algebras (Paperback, Softcover reprint of the original 1st ed. 2004)

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.