Abstract
Let be a number field, and let be either the multiplicative group or an elliptic curve . Let be a finite set of places of containing the archimedean places. We prove that if is nontorsion, then there are only finitely many torsion points that are -integral with respect to . We also formulate conjectural generalizations for dynamical systems and for abelian varieties.
Citation
Matthew Baker. Su-ion Ih. Robert Rumely. "A finiteness property of torsion points." Algebra Number Theory 2 (2) 217 - 248, 2008. https://doi.org/10.2140/ant.2008.2.217
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