| Type of Document |
Dissertation |
| Author |
Chapman, David H
|
| URN |
etd-07072011-104742 |
| Title |
On Greenberg's Question: An Algebraic and Computational Approach |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Perlis, Robert |
Committee Chair |
| Litherland, Richard |
Committee Member |
| Morales, Jorge |
Committee Member |
| Oporowski, Bogdan |
Committee Member |
| Richardson, Leonard |
Committee Member |
| Zhang, Guoping |
Dean's Representative |
|
| Keywords |
- number theory
- Galois theory
- Iwasawa theory
|
| Date of Defense |
2011-06-28 |
| Availability |
unrestricted |
Abstract
Greenberg asked whether arithmetically equivalent number fields share the same Iwasawa invariants. In this dissertation it is shown that the problem naturally breaks up into four cases, depending on properties of Galois groups. This analysis is then used to give a positive answer to Greenberg’s question in some nontrivial examples.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Chapman_diss.pdf |
424.36 Kb |
00:01:57 |
00:01:00 |
00:00:53 |
00:00:26 |
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