| Type of Document |
Dissertation |
| Author |
Smith, Karli
|
| Author's Email Address |
ksmith@math.lsu.edu |
| URN |
etd-07072008-154718 |
| Title |
Trace Forms of Abelian Extensions of Number Fields |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Robert Perlis |
Committee Chair |
| Frank Neubrander |
Committee Member |
| Jimmie Lawson |
Committee Member |
| Michael Tom |
Committee Member |
| Richard Litherland |
Committee Member |
| Lynn LaMotte |
Dean's Representative |
|
| Keywords |
- galois
- normal
- witt ring
- witt equivalence
- symmetric bilinear forms
- algebraic
|
| Date of Defense |
2008-07-02 |
| Availability |
unrestricted |
Abstract
This dissertation is concerned with providing a description of certain symmetric bilinear forms, called trace forms, associated with finite normal extensions N/K of an algebraic number field K, with abelian Galois group Gal(N/K). These abelian trace forms are described up to Witt equivalence, that is, they are described as elements in the Witt ring W(K). Complete descriptions are obtained when the base field K has exactly one dyadic prime and either no real embeddings or one real embedding. For these fields K, the set of abelian trace forms is closed under multiplication in the Witt ring W(K).
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
mythesis6.pdf |
217.91 Kb |
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00:00:31 |
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