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A FROBENIUS QUESTION RELATED TO ACTIONS ON CURVES IN CHARACTERISTIC P

Published online by Cambridge University Press:  13 August 2013

DARREN B. GLASS*
Affiliation:
Department of Mathematics, Gettysburg College, Gettysburg, PA 17325, USA e-mail: [email protected]
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Abstract

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We consider which integers g can occur as the genus and of a curve defined over a field of characteristic p which admits an automorphism of degree pq, where p and q are distinct primes. This investigation leads us to consider a certain family of three-dimensional Frobenius problems and prove explicit formulas giving their solution in many cases.

Keywords

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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