Date of Award
1-1-2015
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Content Description
1 online resource (iv, 44 pages) : illustrations.
Dissertation/Thesis Chair
Anupam Srivastav
Committee Members
Boris Goldfarb, Marco Varisco
Keywords
normal integral basis, quadratic imaginary number fields, realisable class, realisable Swan classes, Swan group, Abelian groups, Modules (Algebra), Quadratic fields, Rings (Algebra)
Subject Categories
Physical Sciences and Mathematics
Abstract
We show that every quadratic imaginary extension of the field of rationals has a biquadratic extension without a normal integral basis.
Recommended Citation
Guzman, Maxine, "Swan modules of elementary abelian 2-groups over quadratic imaginary fields" (2015). Legacy Theses & Dissertations (2009 - 2024). 1399.
https://scholarsarchive.library.albany.edu/legacy-etd/1399