Abstract
In this chapter we describe Galois extensions of number fields which are obtained by adjoining the coordinates of torsion points of a given order n on an elliptic curve. We formulate conditions ruling the decomposition in these extensions over a number field.
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Torsion Point Fields. In: Adelmann, C. (eds) The Decomposition of Primes in Torsion Point Fields. Lecture Notes in Mathematics, vol 1761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44949-3_5
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DOI: https://doi.org/10.1007/3-540-44949-3_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42035-4
Online ISBN: 978-3-540-44949-2
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