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On the Computation of the Trace Form of Some Galois Extensions

✍ Scribed by Christof Drees; Martin Epkenhans; Martin Krüskemper

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
346 KB
Volume
192
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

We investigate the trace form tr :

In particular, we study 2-extensions of degree F 16. Using some reduction theorems, these results yield a classification of nearly all trace forms of Galois extensions of degree F 31. Finally, we study the trace form of a cyclotomic extension and of its maximal real subfield.

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