A rigid local system with monodromy group the big Conway group $2.\mathsf {Co}_1$ and two others with monodromy group the Suzuki group $6.{{Suz}}$

DOI10.1090/tran/7967zbMath1457.11169arXiv1901.03894OpenAlexW2974592532MaRDI QIDQ5217890

Antonio Rojas-León, Nicholas M. Katz, Pham Hũ'u Tiêp

Publication date: 26 February 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03894

zbMATH Keywords

sporadic simple groupsmonodromy groupsrigid local systems

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Exponential sums (11T23) Representations of sporadic groups (20C34)

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Uses Software

• GAP

Cites Work

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• Symmetric powers and a problem of Kollár and Larsen.
• Finite monodromy of some families of exponential sums
• Rigid local systems and alternating groups
• Unitary \(t\)-groups
• Monodromy groups of Kloosterman and hypergeometric sheaves
• Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\)
• A rigid local system with monodromy group \(2.J_{2}\)
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• Low-Dimensional Representations of Quasi-Simple Groups
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
• Almost irreducible tensor squares
• Rigid local systems with monodromy group the Conway group Co2