Date of Award

2007

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Han, Ilseop

Second Advisor

Okon, James

Third Advisor

Ventura, Belisario

Abstract

The purpose of this thesis is to give a detailed group theoretic proof of the rank formula in a more general setting. By using the proof of Mordell-Weil theorem, a formula for the rank of the elliptical curves in certain cases over algebraic number fields can be obtained and computable.

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