Type of Document	Dissertation
Author	Ranalli, Ramona Renee
Author's Email Address	ranalli@math.vt.edu
URN	etd-11297-16598
Title	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
Degree	PhD
Department	Mathematics
Advisory Committee	Advisor Name Title Parry, Charles J. Committee Chair Boisen, Monte B. Jr. Committee Member Brown, Ezra A. Committee Member McCoy, Robert A. Committee Member Rossi, John F. Committee Member
Keywords	Bicyclic Ideal Class Groups Biquadratic
Date of Defense	1997-11-18
Availability	unrestricted
Abstract 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.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    etd.dvi 1.20 Mb 00:05:33 00:02:51 00:02:30 00:01:15 00:00:06   ranalli.pdf 1.30 Mb 00:06:00 00:03:05 00:02:42 00:01:21 00:00:06

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