A rigid local system with monodromy group 2.J                         2

Nicholas M. Katz; Antonio Rojas-León

doi:10.1016/j.ffa.2019.02.008

A rigid local system with monodromy group 2.J ₂

Nicholas M. Katz, Antonio Rojas-León

Mathematics

Research output: Contribution to journal › Article › peer-review

7 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 language	English (US)
Pages (from-to)	276-286
Number of pages	11
Journal	Finite Fields and their Applications
Volume	57
DOIs	https://doi.org/10.1016/j.ffa.2019.02.008
State	Published - May 2019

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Algebra and Number Theory
General Engineering
Applied Mathematics

Keywords

Exponential sums
Monodromy
Representations of sporadic groups

Access to Document

10.1016/j.ffa.2019.02.008

Cite this

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title = " A rigid local system with monodromy group 2.J 2 ",

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.",

keywords = "Exponential sums, Monodromy, Representations of sporadic groups",

author = "Katz, {Nicholas M.} and Antonio Rojas-Le{\'o}n",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = may,

doi = "10.1016/j.ffa.2019.02.008",

language = "English (US)",

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journal = "Finite Fields and their Applications",

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T1 - A rigid local system with monodromy group 2.J 2

AU - Katz, Nicholas M.

AU - Rojas-León, Antonio

PY - 2019/5

Y1 - 2019/5

N2 - 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.

AB - 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.

KW - Exponential sums

KW - Monodromy

KW - Representations of sporadic groups

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DO - 10.1016/j.ffa.2019.02.008

M3 - Article

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EP - 286

JO - Finite Fields and their Applications

JF - Finite Fields and their Applications

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