Información General

• Autores: Roger C. Lyndon, Paul E. Schupp
• Editores: Berlin [etc. : Springer, 1977
• Año de publicación: 1977
• País: España
• Idioma: español
• ISBN: 3-540-07642-5
• Texto completo no disponible (Saber más ...)

Resumen

• 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

Otros catálogos

• Red de Bibliotecas Universitarias (REBIUN)

Índice

• Chapter I. Free Groups and Their Subgroups
  1. Introduction 2. Nielsen's Method
  3. Subgroups of Free Groups
  4. Automorphisms of Free Groups
  5. Stabilizers in Aut(F) 6. Equations over Groups
  7. Quadratic sets of Word
  8. Equations in Free Groups
  9. Abstract Lenght Functions
  10. Representations of Free Groups
  11. Free Pruducts with Amalgamation
  Chapter II. Generators and Relations
  1. Introduction
  2. Finite Presentations
  3. Fox Calculus, Relation Matrices, Connections with Cohomology
  4. The Reidemeister-Schreier Method
  5. Groups with a Single Defining Relator
  6. Magnus' Treatment of One-Relator Groups
  Chapter III. Geometric Methods
  1. Introduction
  2. Complexes
  3. Covering Maps
  4. Cayley Complexes
  5. Planar Caley Complexes
  6. F-Groups Continued
  7. Fuchsian Complexes
  8. Planar Groups with Reflections
  9. Singular Subcomplexes
  10. Sherical Diagrams
  11. Aspherical Groups
  12. Coset Diagrams and Permutation Representations
  13. Behr Graphs
  Chpter IV. Free Products and HNN Extensions
  1. Free Products
  2. Higman-Neumann-Neumann Extensions and Free Products with Amalgamation
  3. Some Embedding Theorems
  4. Some Decision Problems
  5. One-Relator Groups
  6. Bipolar Structures
  7. The Higman Embedding Theorem
  8. Algebraically Closed Groups
  Chapter V. Small Cancellation Theory
  1. Diagrams
  2. The Small Cancellation Hypotheses
  3. The Basic Formulas
  4. Dehn's Algorithm and Greendlinger's Lemma
  5. The Conjugacy Problem
  6. The Word Problem
  7. The Cunjugacy Problme
  8. Applications to Knot Groups
  9. The Theory over Free Products
  10. Small Cancellation Products
  11. Small Cancellation Theory over free Products with Amalgamation and HNN Extensions
  Bibliography
  Index of Names
  Subject Index