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Experimental Mathematics Volume 28, 2019 - Issue 1
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Original Articles

Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

Nicholas M. KatzDepartment of Mathematics, Princeton University, Princeton, NJ, USACorrespondence[email protected]
Pages 49-56 | Published online: 23 Jun 2017

References

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  • [Geck 96] M. Geck, G. Hiss, F. Lübeck, G. Malle, and G. Pfeiffer. “CHEVIE-a System for Computing and Processing Generic Character Tables. Computational Methods in Lie Theory (Essen, 1994).” Appl. Algebra Engrg. Comm. Comput. 7: 3 (1996), 175–210.
  • [Gross 10] B. H. Gross. “Rigid Local Systems on Gm with Finite Monodromy.” Adv. Math. 224: 6 (2010), 2531–2543.
  • [Katz 90] N. Katz. Exponential Sums and Differential Equations. Annals of Mathematics Studies, 124, pp. xii+430. Princeton, NJ: Princeton University Press, 1990.
  • [Katz 96] N. Katz. Rigid Local Systems. Annals of Mathematics Studies, 139, pp. viii+223. Princeton, NJ: Princeton University Press, 1996.
  • [Katz preprint] N. Katz. “Rigid Local Systems on A1 with Finite Monodromy.” Preprint available from World Wide Web (www.math.princeton.edu/nmk/gpconj90.pdf)
  • [Katz and Sarnak 99] N. Katz and P. Sarnak. Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society Colloquium Publications, 45, pp. xii+419. Providence, RI: American Mathematical Society, 1999.
  • [Lübeck 17] F. Lübeck. Personal communication, April 19, 2017.
  • [Raynaud 94] M. Raynaud. “Revêtements de la droite affine en caractéristique p > 0 et conjecture d’Abhyankar.” Invent. Math. 116: 1–3 (1994), 425–462.
  • [Suzuki 62] M. Suzuki. “On a Class of Doubly Transitive Groups.” Ann. Math., 75, (1962), 101–145.
  • [Ward 66] H. Ward. “On Ree’s Series of Simple Groups.” T.A.M.S. 121:1 (1966), 62–89.
  • [Wilson 10a] R. Wilson. “A New Approach to the Suzuki Groups.” Math. Proc. Camb. Phil. Soc. 148 (2010), 425–428.
  • [Wilson 10b] R. A. Wilson. “Another New Approach to the Small Ree Groups.” Arch. Math. 94 (2010), 501–510.

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