Gauss Sums and p-adic Division Algebras

Colin J. Bushnell, Albrecht Fröhlich (auth.)9780387122908, 0-387-12290-7

Table of contents :
Arithmetic of local division algebras….Pages 1-7
Introduction to Gauss Sums….Pages 8-33
Functional equation….Pages 34-41
One-dimensional representations….Pages 42-52
The basic correspondence….Pages 53-67
The basic inductive step….Pages 68-86
The general inductive process….Pages 87-98
Representations of certain group extensions….Pages 99-121
Trace computations….Pages 122-145
Induction constants for Galois Gauss sums….Pages 146-155
Synthesis of results….Pages 156-165
modified correspondences….Pages 166-182