Cohomology in infinite group theory

Chapters in this book

1. Frontmatter I
2. Preface V
3. Organising Committee VII
4. Contents IX
5. Pictures XIII
6. Workshop lectures
7. Four lectures on Sylow theory in locally finite groups 3
8. Cohomology in infinite group theory 29
9. Invited lectures
10. Upper and lower bounds for nilpotency classes of Lie algebras with Engel conditions 57
11. Recent progress on rewritability in groups 77
12. Some finite groups with nontrivial centers which are Galois groups 87
13. Actions on lower central factors of free groups 111
14. Some countably free groups 129
15. Automorphism groups of DRADs 151
16. Invariant lattices in Lie algebras and their automorphism groups 171
17. Yet more on finite groups with few defining relations 183
18. Elementary proof of the simplicity of sporadic groups 195
19. Fricke, free groups and SL₂ 207
20. Hecke operators and non congruence subgroups 215
21. Contributed papers
22. Soluble groups which are the product of a nilpotent and a polycyclic subgroup 227
23. The tame range of automorphism groups and GL_n 241
24. Universal groups, binate groups and acyclicity 253
25. Residual solvability of the unit groups of group algebras 267
26. Stabilisers of injective modules over nilpotent groups 275
27. Fitting classes after Dark 293
28. On groups related to Fibonacci groups 323
29. On the Chern classes of representations of the symmetric groups 333
30. Solutions of equations in free groups 347
31. Block covers and module covers of finite groups 357
32. A theorem in the commutator calculus 367
33. Topological methods in equivariant cohomology 373
34. Solvable subgroups of free products of profinite groups 391
35. Non-cancellation and non-abelian tensor squares 405
36. A class of SQ-Universal groups 409
37. Action tables for the Fischer group F₂₂ 417
38. A CAYLEY library for the groups of order dividing 128 437
39. On octic field extensions and a problem in group theory 443
40. Geometric invariants and HNN-extensions 465
41. Groups with permutable subgroup products 485
42. Symmetric presentations 497
43. On the periodicity of group operations 507
44. An application of groups to the topology design of connection machines 519
45. A new characterization of the sporadic simple groups 531
46. Equicentralizer subgroups of sporadic simple groups 541
47. Some transfer theorems for finite groups 553
48. Appendices
49. List of participants 569
50. List of lectures 581
51. Backmatter 587