Identifying Frobenius elements in Galois groups

2010/09/27 by Dokchitser, Tim, Dokchitser, Vladimir · 1 citation
#11R32 #12F10 (Primary) 11R42 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1009.5388

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.

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