Identifying Frobenius elements in Galois groups
Number Theory
2011-04-25 v2
Abstract
We present a method to determine Frobenius elements in arbitrary Galois extensions of global fields, which may be seen as a generalisation of Euler's criterion. It is a part of the general question how to compare splitting fields and identify conjugacy classes in Galois groups, that we will discuss as well.
Keywords
Cite
@article{arxiv.1009.5388,
title = {Identifying Frobenius elements in Galois groups},
author = {Tim Dokchitser and Vladimir Dokchitser},
journal= {arXiv preprint arXiv:1009.5388},
year = {2011}
}
Comments
Extended introduction and minor corrections; 25 pages