Pentagonal Extensions of the Rationals Ramified at a Single Prime

In this thesis, we define a certain group of order 160, which we call a hyperpentagonal group, and we prove that every totally real D5-extension of the rationals ramified at only one prime is contained in a hyperpentagonal extension of the rationals. This generalizes a result of Doud and Childers (...

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Bibliographic Details
Main Author: Rodriguez, Pablo Miguel
Format: Others
Published: BYU ScholarsArchive 2021
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/9342
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=10351&context=etd