Galois theory of Mordell-Weil groups

Let K/k be a finite Galois extension of number fields with Galois group G, and let E be an elliptic curve defined over k. In this thesis we study the problem of trying to determine the Zp[G]-module structure of the p-adic completion E(K)* = E(K) ⊗Z Zp from more easily calculated invariants of K/k an...

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Bibliographic Details
Main Author: Vavasour, Thomas
Format: Thesis (University of Nottingham only)
Language:English
Published: 2019
Subjects:
Online Access:https://eprints.nottingham.ac.uk/56691/