examples of trace and norm
Let be a complex root of unity different than 1. Then and are the conjugate roots of the minimal polynomial
.
Since is the splitting field
of , it is Galois over . Moreover the Galois group
is formed by the identity
and the automorphism
The elements of have the form , .
Then we obtain
Title | examples of trace and norm |
---|---|
Canonical name | ExamplesOfTraceAndNorm |
Date of creation | 2013-03-22 15:55:45 |
Last modified on | 2013-03-22 15:55:45 |
Owner | polarbear (3475) |
Last modified by | polarbear (3475) |
Numerical id | 16 |
Author | polarbear (3475) |
Entry type | Example |
Classification | msc 12F05 |