"Reprint of the 1977 edition."

"Originally published as Vol. 89 of the Ergibnisse der Mathematik und ihrer Grenzgebiete"--T.p. verso.

Includes bibliographical references (p. [295]-331 and indexes.

Free Groups and Their Subgroups: Nielsen's Method. Subgroups of Free Groups. Automorphisms of Free Groups. Stabilizers in Aut(F). Equations over Groups. Quadratic sets of Word. Equations in Free Groups. Abstract Length Functions. Representations of Free Groups. Free Products with Amalgamation; Generators and Relations: Finite Presentations. Fox Calculus, Relation Matrices, Connections with Cohomology. The Reidemeister-Schreier-Method. Groups with a Single Defining Relator. Magnus' Treatment of One-Relator Groups. Geometric Methods: Complexes. Covering Maps. Cayley Complexes. Planar Caley Complexes. F-Groups Continued. Fuchsian Complexes. Planar Groups with Reflections. Singular Subcomplexes. ShericalDiagrams. Aspherical Groups Coset Diagrams and Permutation Representations. Behr Graphs. Free Production and HNN Extensions: ... Small Cancellation Theory:...; Bibliography; Index of Names; Subject Index.

From the reviews:This book (...) defines the boundaries of the subject now called combinatorial group theory. (...)it is a considerable achievement to have concentrated a survey of the subject into 339 pages. This includes a substantial and useful bibliography; (over 1100 (items))...the book is a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference. Mathematical Reviews, AMS, 1979