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 (...
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 |
Similar Items
-
Application of algebraic number theory in factorization.
Published: (1999) -
On the Characterization of Prime Sets of Polynomials by Congruence Conditions
by: Suresh, Arvind
Published: (2015) -
The structure of the Hilbert symbol for unramified extensions of 2-adic number fields /
by: Simons, Lloyd D.
Published: (1986) -
On a generalization of a theorem of Stickelberger
by: Rideout, Donald E. (Donald Eric)
Published: (1970) -
Multiplicative distance functions
by: Sinclair, Christopher Dean
Published: (2008)