Algebra VII: Combinatorial Group Theory Applications to Geometry [Hardcover]

From the reviews: ... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... Bulletin of the London Mathematical Society, 1996From the reviews: ... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... Bulletin of the London Mathematical Society, 1996I. Combinatorial Group Theory and Fundamental Groups.- 1. Group Presentations and 2-Complexes.- ? 1.1. Presentations of Groups.- ? 1.2. Complexes and Fundamental Groups.- ? 1.3. Subgroups and Coverings.- 2. Free Groups and Free Products.- ? 2.1. Free Groups.- ? 2.2. Amalgamated Free Products and Graphs of Groups.- ? 2.3. Automorphisms of Free Groupl#K