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A CAYLEY library for the groups of order dividing 128

  • M.F. Newman and E.A. O'Brien
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Group Theory
This chapter is in the book Group Theory
© 2016 Walter de Gruyter GmbH, Berlin/Munich/Boston

© 2016 Walter de Gruyter GmbH, Berlin/Munich/Boston

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 GLn 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
https://doi.org/10.1515/9783110848397-033

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 GLn 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
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