Dissertations, Theses, and Capstone Projects
Date of Degree
6-2020
Document Type
Dissertation
Degree Name
Ph.D.
Program
Mathematics
Advisor
Victor Kolyvagin
Committee Members
Kenneth Kramer
Alexander Gamburd
Victor Kolyvagin
Keywords
quadratic fields, multi quadratic class groups, multi quadratic fields, quadratic fields
Abstract
We study multiquadratic real extensiosn K of Q under the assumption that for all quadratic subextensions k of K, the 2-primary components of their divisor class groups are generated by ramified prime divisors. We study in particular the 2-primary component Cl_(K,2^{\infty).
Recommended Citation
Basias, John E., "On the Divisor Class Group and Special Units of Multiquadratic Real Fields" (2020). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/3702