Character Estimates for Finite Simple Groups and Applications

Character Estimates for Finite Simple Groups and Applications

International Mathematical Union via YouTube Direct link

Another exponential bound

14 of 18

14 of 18

Another exponential bound

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Character Estimates for Finite Simple Groups and Applications

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  1. 1 Intro
  2. 2 Theorem of Diaconis-Shahshahani
  3. 3 Mixing time for groups of Lie type
  4. 4 Waring's Problem for finite simple groups
  5. 5 Ore's conjecture
  6. 6 Thompson's conjecture
  7. 7 Fuchsian groups and representation spaces
  8. 8 How characters enter the picture
  9. 9 Types of character estimate
  10. 10 Centralizer bound
  11. 11 Diaconis-Shahshahani bound
  12. 12 Murnaghan-Nakayama rule
  13. 13 Müller-Schlage-Puchta bound
  14. 14 Another exponential bound
  15. 15 Gluck's bound
  16. 16 Highly regular elements
  17. 17 An exponential bound in unbounded rank
  18. 18 Proof by amplification

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