Rigid local systems with monodromy group the Conway group Co 2

Nicholas M. Katz, Antonio Rojas-León, Pham Huu Tiep

Research output: Contribution to journalArticle

Abstract

We first develop some basic facts about hypergeometric sheaves on the multiplicative group m in characteristic p > 0. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic p > 0. One of these, of rank 23 in characteristic p = 3, turns out to have the Conway group Co2, in its irreducible orthogonal representation of degree 23, as its arithmetic and geometric monodromy groups.

Original languageEnglish (US)
JournalInternational Journal of Number Theory
DOIs
StateAccepted/In press - Jan 1 2019

Keywords

  • monodromy groups
  • Rigid local systems
  • sporadic simple groups

ASJC Scopus subject areas

  • Algebra and Number Theory

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