WORD PROBLEMS II (eBook)

Front Cover 1
Word Problems II 4
Copyright Page 5
List of Contents 10
Introduction 8
Chapter 1. Modular machines, the word problem for finitely presented groups and Collins’ theorem 12
Chapter 2. Modular machines and the Higman-Clapham-Valiev embedding theorem 28
Chapter 3. Malcev’s problem and groups with a normal form 40
Chapter 4. Decision problems for ring theory 66
Chapter 5. Erratum: The existence of infinite Burnside groups 82
Chapter 6. On semifir constructions 84
Chapter 7. Conjugacy and the Higman embedding theorem 92
Chapter 8. Some solvable word problems 98
Chapter 9. Solution of the conjugacy problem in certain arithmetic groups 112
Chapter 10. Algebraically closed groups: embeddings and centralizers 152
Chapter 11. Small cancellation theory over groups equipped with an integer-valued length function 168
Chapter 12. On isomorphisms of direct powers 226
Chapter 13. Cancellation theory in free products with amalgamation 258
Chapter 14. Representations of automorphism groups of free groups 266
Chapter 15. On reducible braids 272
Chapter 16. On some group presentations 308
Chapter 17. The concept of ‘‘largeness’’ in group theory 310
Chapter 18. Algorithmic problems for solvable groups 348
Chapter 19. Quadratic equations in groups, cancellation diagrams on compact surfaces, and automorphisms of surface groups 358
Chapter 20. On a problem of Kurosh, Jonsson Groups, and applications 384
Chapter 21. The word and torsion problems for commutative Thue systems 406
Chapter 22. Embeddings into finitely generated simple groups which preserve the word problem 412
Chapter 23. Laws in finite algebras 454
Chapter 24. Algebraisch abgeschlossene Gruppen 460
Chapter 25. Problems 588