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 class number 4, 8, and 16, as well as to determine the specific structure of each.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1997

Author dc:creator

• Ranalli, Ramona Renee

Chair dc:contributor.committeechair

• Parry, Charles J.

Committee members dc:contributor.committeemember

• McCoy, Robert A.
• Rossi, John F.
• Boisen, Monte B. Jr.
• Brown, Ezra A.

• Bicyclic
• Ideal Class Groups
• Biquadratic

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-11297-16598

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/29790