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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the exponent of the group of points of an elliptic curve over a finite field


Author: Francesco Pappalardi
Journal: Proc. Amer. Math. Soc. 139 (2011), 2337-2341
MSC (2010): Primary 11G20; Secondary 11G05
Published electronically: December 6, 2010
MathSciNet review: 2784798
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Abstract: We present a lower bound for the exponent of the group of rational points of an elliptic curve over a finite field. Earlier results considered finite fields $ \mathbb{F}_{q^m}$ where either $ q$ is fixed or $ m=1$ and $ q$ is prime. Here, we let both $ q$ and $ m$ vary; our estimate is explicit and does not depend on the elliptic curve.


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Additional Information

Francesco Pappalardi
Affiliation: Dipartimento di Matematica, Università Roma Tre, Largo San Leonardo Murialdo 1, I–00146, Roma, Italy
Email: pappa@mat.uniroma3.it

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10658-5
PII: S 0002-9939(2010)10658-5
Keywords: Elliptic curves, finite fields
Received by editor(s): December 23, 2009
Received by editor(s) in revised form: June 13, 2010, and June 21, 2010
Published electronically: December 6, 2010
Communicated by: Ken Ono
Article copyright: © Copyright 2010 American Mathematical Society