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Document Type

Open Access Dissertation

Degree Name

Doctor of Philosophy (PhD)

Degree Program

Mathematics

Year Degree Awarded

Spring 2014

First Advisor

Farshid Hajir

Second Advisor

Tom Weston

Third Advisor

Siman Wong

Subject Categories

Number Theory

Abstract

We explore certain arithmetic properties of iterated extensions. Namely, we compute the index associated to certain families of iterated polynomials and determine the decomposition of prime ideals in others.

Included in

Number Theory Commons

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