A Brief Introduction to Local Fields
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چکیده
Example 1. Let us fix now an example which we will use throughout the paper; it is an abelian extension, so it does not have quite all of the structure of the general case, but it should still illustrate our results. Consider the extension Q(ζ15)/Q, which is a Galois extension of degree 8. We will just write ζ for ζ15 from now on. The Galois group Gal(Q(ζ)/Q) can be identified with (Z/15Z)∗, where i ∈ (Z/15Z)∗ corresponds to the automorphism σi of Q(ζ) characterized by σi(ζ) = ζ.
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تاریخ انتشار 2003