Identifying Frobenius elements in Galois groups

Details Identifying Frobenius elements in Galois groups Identifying Frobenius elements in Galois groups

2010-09-27

arxiv.org/abs/1009.5388v2

Mathematics

Number Theory

Extended introduction and minor corrections; 25 pages

Scientific paper

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.

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