Combinatorial Group Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

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 ÄitemsÜ). ...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__ Free Groups And Their Subgroups -- Introduction -- 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 -- Introduction -- 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 -- Introduction -- Complexes -- Covering Maps -- Cayley Complexes -- Planar Caley Complexes -- F-groups Continued -- Fuchsian Complexes -- Planar Groups With Reflections -- Singular Subcomplexes -- Sherical Diagrams -- Aspherical Groups -- Coset Diagrams And Permutation Representations -- Behr Graphs -- Free Products And Hnn Extensions -- Free Products -- Higman-neumann-neumann Extensions And Free Products With Amalgamation -- Some Embedding Theorems -- Some Decision Problems -- One-relator Groups -- Bipolar Structures -- The Higman Embedding Theorem -- Algebraically Closed Groups -- Small Cancellation Theory -- Diagrams -- The Small Cancellation Hypotheses -- The Basic Formulas -- Dehn's Algorithm And Greendlinger's Lemma -- The Conjugacy Problem -- The Word Problem -- The Cunjugacy Problem -- Applications To Knot Groups -- The Theory Over Free Products -- Small Cancellation Products -- Small Cancellation Theory Over Free Products With Amalgamation And Hnn Extensions. Roger C. Lyndon, Paul E. Schupp. Facsimile / Reprint. Reprint Of The 1st Ed. Berlin Heidelberg New York, 1977. Originally Published As Vol. 89 Of The Ergebnisse Der Mathematik Und Ihrer Grenzgebiete--t.p. Verso. Includes Bibliographical References (p. [295]-331) And Indexes. Front Matter....Pages N1-xiv Free Groups and Their Subgroups....Pages 1-86 Generators and Relations....Pages 87-113 Geometric Methods....Pages 114-173 Free Products and HNN Extensions....Pages 174-234 Small Cancellation Theory....Pages 235-294 Back Matter....Pages 295-339 Roger C. Lyndon, Paul E. Schupp. Includes Indexes. Bibliography: P. [295]-332.