A Rigid Local System with Monodromy Group 2.J₂

2018/09/15 by Katz, Nicholas M., Rojas-León, Antonio
#11T24 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1809.05755

Abstract

We exhibit a rigid local system of rank six on the affine line in characteristic p=5 whose arithmetic and geometric monodromy groups are the finite group 2.J₂ (J₂ the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible representation of degree six.

Related

• Rigid local systems with monodromy group the Conway group Co₃
• Rigid local systems with monodromy group the Conway group Co₂
• The classification of orthogonally rigid G2-local systems
• Rigid local systems and alternating groups
• A rigid local system with monodromy group the big Conway group 2.Co₁\n and two others with monodromy group the Suzuki group 6.Suz