A rigid local system with monodromy group 2.J 2

Nicholas M. Katz, Antonio Rojas-León

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.J 2 (J 2 the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible representation of degree six.

Original languageEnglish (US)
Pages (from-to)276-286
Number of pages11
JournalFinite Fields and their Applications
StatePublished - May 2019

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Algebra and Number Theory
  • General Engineering
  • Applied Mathematics


  • Exponential sums
  • Monodromy
  • Representations of sporadic groups


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