A rigid local system with monodromy group 2.J 2

Nicholas M. Katz, Antonio Rojas-León

Research output: Contribution to journalArticle

3 Scopus citations

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.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
Volume57
DOIs
StatePublished - May 2019

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

Keywords

  • Exponential sums
  • Monodromy
  • Representations of sporadic groups

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