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Michael Chou,
Harris B. Daniels,
Ivan Krijan, and
Filip Najman
Torsion groups of elliptic curves over the Zp-extensions of Q
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| Published: |
January 4, 2021. |
| Keywords: |
Elliptic curves, torsion. |
| Subject: |
11G05. |
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Abstract
We determine, for an elliptic curve E/Q and for a prime p, all the possible torsion groups
E(Q∞,p)tors, where Q∞,p is the Zp-extension
of Q. |
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| Acknowledgements
The third and fourth author were supported by the QuantiXLie Center of Excellence, a project co-financed by the Croatian Government and European Union through the European Regional Development Fund - the Competitiveness and Cohesion Operational Programme (Grant KK.01.1.1.01.0004) and by the Croatian Science Foundation under the project no. IP-2018-01-1313.
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| Author information
Michael Chou:
Department of Mathematics
Tufts University
Medford, MA 02155, USA
michael.chou@tufts.edu
Harris B. Daniels:
Department of Mathematics and Statistics
Amherst College
Amherst, MA 01002, USA
hdaniels@amherst.edu
Ivan Krijan:
Department of Mathematics
University of Zagreb
Bijenicka cesta 30, 10000 Zagreb, Croatia
ikrijan@math.hr
Filip Najman:
Department of Mathematics
University of Zagreb
Bijenicka cesta 30, 10000 Zagreb, Croatia
fnajman@math.hr
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