Rigid local systems with monodromy group the Conway group Co2

DOI10.1142/S1793042120500189zbMath1460.11144arXiv1811.05712OpenAlexW2965091959MaRDI QIDQ5221460

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

Publication date: 26 March 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05712

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)

Related Items (4)

Monodromy groups of Kloosterman and hypergeometric sheaves ⋮ Condition \((\mathbf{S}+)\) in ranks \(4, 8\), and \(9\) ⋮ Rigid local systems and finite general linear groups ⋮ A rigid local system with monodromy group the big Conway group $2.\mathsf {Co}_1$ and two others with monodromy group the Suzuki group $6.{{Suz}}$

Cites Work

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• \(G_2\) and hypergeometric sheaves
• Symmetric powers and a problem of Kollár and Larsen.
• Finite monodromy of some families of exponential sums
• Rigid local systems and alternating groups
• Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\)
• A rigid local system with monodromy group \(2.J_{2}\)
• Low-Dimensional Representations of Quasi-Simple Groups
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)

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