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Kang, Dong Seung
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Trace forms and self-dual normal bases in Galois field extensions
Creator:
Kang, Dong Seung
Abstract:
Let G be a finite group, G₂ be a Sylow 2-subgroup of G, and L/K be a G-Galois extension. We study the trace form qL/K of L/K and the question of existence of a self-dual normal basis. Our main results are as follows: (1) If G₂ is not abelian and...
Resource Type:
Dissertation
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Academic Affiliation
Mathematics
1
Advisor
Reichstein, Zinovy
1
Commencement Year
2003
1
Committee Member
Chen, L.
1
Fein, B.
1
Flahive, M.
1
Koc, Cetin Kaya
1
Schmidt, T. A.
1
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Creator
Kang, Dong Seung
1
Date
2002
1
Decade
2000-2009
1
Degree Field
Mathematics
1
Degree Level
Doctoral
1
Degree Name
Doctor of Philosophy (Ph.D.)
1
Language
English [eng]
1
License
All rights reserved
1
Non-Academic Affiliation
Oregon State University. Graduate School
1
Resource Type
Dissertation
1
Rights Statement
In Copyright
1
Subject
Field extensions (Mathematics)
1
Galois theory
1
Normal basis theorem
1
Trace formulas
1