Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/7138
Title: | The Second Chinburg Conjecture for Quaternion Fields |
Authors: | Tran, Van Minh |
Advisor: | Snaith, V.P. |
Department: | Mathematics |
Keywords: | Mathematics;Mathematics |
Publication Date: | 1996 |
Abstract: | <p>This thesis is a part of a program to study the Second Chinburg Conjecture. Let N be a quaternion extension of the rational; containing Q(√d₁,√d₂), where d₁ ≡ 3 (mod 8) and d₂ ≡ 10 (mod 16). A projective Z[Q₈]-module inside the ring of integers ON is constructed and is used, together with a cohomological classification of cohomologically trivial, 2-primary Q-modules, to compare Ω(N/Q,2), Chinburg's second invariant, with WN/Q, the root number class defined by Ph. Cassou-Nougès and A. Fröhlich. The Second Chinburg Conjecture for this extension N/Q is confirmed. Together with results of J. Hooper and S. Kim this calculation verifies the Second Chinburg Conjecture for all quaternion extensions of the rationals.</p> |
URI: | http://hdl.handle.net/11375/7138 |
Identifier: | opendissertations/2429 3494 1386425 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.42 MB | Adobe PDF | View/Open |
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