| Type of Document |
Dissertation |
| Author |
Kang, Changheon
|
| Author's Email Address |
ckang@lsu.edu, kang_c@math.lsu.edu |
| URN |
etd-0711102-133722 |
| Title |
Exotic Integral Witt Equivalence of
Algebraic Number Fields |
| Degree |
Doctor of Philosophy (Ph.D.) |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Robert Perlis |
Committee Chair |
| George Cochran |
Committee Member |
| Jorge Morales |
Committee Member |
| Richard A. Litherland |
Committee Member |
| William Adkins |
Committee Member |
| Ahmed A. El-Amawy |
Dean's Representative |
|
| Keywords |
- witt ring
- symmetric bilinear form
- witt equivalence
|
| Date of Defense |
2002-07-02 |
| Availability |
unrestricted |
Abstract
Two algebraic number fields K and L are said to be exotically integrally Witt equivalent if there is a ring isomorphism W(OK) ~ W(OL) between the Witt rings of the number rings OK and OL of K and L, respectively. This dissertation studies exotic integral Witt equivalence for totally complex number fields and gives necessary and sufficient conditions for exotic integral equivalence in two special classes of totally complex number fields.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Kang_dis.pdf |
381.05 Kb |
00:01:45 |
00:00:54 |
00:00:47 |
00:00:23 |
00:00:02 |
|
