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Filtering by: Committee Member Wood, Terence M. Degree Field Mathematics Rights Statement In Copyright

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