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Rigid local systems
and alternating groups
Robert M. Guralnick, Nicholas M. Katz and Pham Huu Tiep |
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Vol. 1 (2019), No. 3, 295–320
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Abstract |
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We show that some very simple to write one parameter families of exponential sums on the affine line in characteristic have alternating groups as their geometric monodromy groups. |
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Keywords
rigid local system, monodromy, alternating group
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Mathematical Subject Classification 2010
Primary: 11T23, 20D05
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Milestones
Received: 5 October 2017
Revised: 3 April 2018
Accepted: 22 April 2018
Published: 8 August 2018
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Authors |
| Robert M. Guralnick | |
| Department of Mathematics University of Southern California Los Angeles, CA 90089-2532 United States |
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| Nicholas M. Katz | |
| Department of Mathematics Princeton University Fine Hall Princeton, NJ 08544-1000 United States |
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| Pham Huu Tiep | |
| Department of Mathematics Rutgers University Piscataway, NJ 08854-8019 United States |
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