Hjem

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 Length Functions.-
10. Representations of Free Groups; the Fox Calculus.-
11. Free Products with Amalgamation.- 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.- 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. Spherical Diagrams.-
11. Aspherical Groups.-
12. Coset Diagrams and Permutation Representations.-
13. Behr Graphs.-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.- 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 Conjugacy Problem.-
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.- Russian Names in Cyrillic.- Index of Names.