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