Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture

Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture

Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube Direct link

Hyperbolic groups are rational!

13 of 17

13 of 17

Hyperbolic groups are rational!

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Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture

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  1. 1 Intro
  2. 2 The word problem for finitely generated groups.
  3. 3 Key Word Problem Results
  4. 4 Solvable word problem for fp simple groups
  5. 5 The Boone-Higman Conjecture, 1974
  6. 6 Surface groups and Dehn's Algorithm
  7. 7 Dehn Presentations and Hyperbolic Groups II
  8. 8 Small Cancellation...
  9. 9 Dehn's Algorithm in Action...
  10. 10 The rational group
  11. 11 Some Terminology
  12. 12 Geometric Characterisation of
  13. 13 Hyperbolic groups are rational!
  14. 14 Self-Similar Trees
  15. 15 The Tree of Atoms
  16. 16 Contracting Nucleus
  17. 17 Then a miracle occurs...

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