The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields

In this dissertation class groups of imaginary bicyclic biquadratic fields are considered. In chapter 1 we develop a method for determining the structure of the 2-class group of K. In chapters 3, 4, and 5 this method is applied to determine all imaginary bicyclic biquadratic extensions of Q with c...

Full description

Bibliographic Details
Main Author:	Ranalli, Ramona Renee
Other Authors:	Mathematics
Format:	Others
Published:	Virginia Tech 2014
Subjects:	Bicyclic Ideal Class Groups Biquadratic
Online Access:	http://hdl.handle.net/10919/29790 http://scholar.lib.vt.edu/theses/available/etd-11297-16598/

id	ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-29790
record_format	oai_dc
spelling	ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-297902020-09-29T05:34:09Z The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields Ranalli, Ramona Renee Mathematics Parry, Charles J. McCoy, Robert A. Rossi, John F. Boisen, Monte B. Jr. Brown, Ezra A. Bicyclic Ideal Class Groups Biquadratic In this dissertation class groups of imaginary bicyclic biquadratic fields are considered. In chapter 1 we develop a method for determining the structure of the 2-class group of K. In chapters 3, 4, and 5 this method is applied to determine all imaginary bicyclic biquadratic extensions of Q with class number 4, 8, and 16, as well as to determine the specific structure of each. Ph. D. 2014-03-14T20:19:21Z 2014-03-14T20:19:21Z 1997-11-18 1997-11-18 2012-04-12 1997-12-10 Dissertation etd-11297-16598 http://hdl.handle.net/10919/29790 http://scholar.lib.vt.edu/theses/available/etd-11297-16598/ etd.dvi ranalli.pdf In Copyright http://rightsstatements.org/vocab/InC/1.0/ application/pdf application/x-dvi Virginia Tech
collection	NDLTD
format	Others
sources	NDLTD
topic	Bicyclic Ideal Class Groups Biquadratic
spellingShingle	Bicyclic Ideal Class Groups Biquadratic Ranalli, Ramona Renee The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
description	In this dissertation class groups of imaginary bicyclic biquadratic fields are considered. In chapter 1 we develop a method for determining the structure of the 2-class group of K. In chapters 3, 4, and 5 this method is applied to determine all imaginary bicyclic biquadratic extensions of Q with class number 4, 8, and 16, as well as to determine the specific structure of each. === Ph. D.
author2	Mathematics
author_facet	Mathematics Ranalli, Ramona Renee
author	Ranalli, Ramona Renee
author_sort	Ranalli, Ramona Renee
title	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
title_short	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
title_full	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
title_fullStr	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
title_full_unstemmed	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
title_sort	structure of the 2-sylow subgroups of the ideal class groups of imaginary bicyclic biquadratic fields
publisher	Virginia Tech
publishDate	2014
url	http://hdl.handle.net/10919/29790 http://scholar.lib.vt.edu/theses/available/etd-11297-16598/
work_keys_str_mv	AT ranalliramonarenee thestructureofthe2sylowsubgroupsoftheidealclassgroupsofimaginarybicyclicbiquadraticfields AT ranalliramonarenee structureofthe2sylowsubgroupsoftheidealclassgroupsofimaginarybicyclicbiquadraticfields
_version_	1719343700492943360

The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields

Similar Items