Proof of Mordell’s Finite Generation Theorem

  • Dale Husemöller
Part of the Graduate Texts in Mathematics book series (GTM, volume 111)


In this chapter we prove that the rational points E(Q) on an elliptic curve over the rational numbers Q form a finitely generated group. We will follow a line of argument which generalizes to prove A. Weil’s extension to number fields. The Mordell-Weil group E(k) of points over a number field k on an elliptic curve E is a finitely generated group.


Abelian Group Projective Space Elliptic Curve Rational Point Elliptic Curf 
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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Dale Husemöller
    • 1
  1. 1.Department of MathematicsHaverford CollegeHaverfordUSA

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