Open Access
2013 Identifying Frobenius elements in Galois groups
Tim Dokchitser, Vladimir Dokchitser
Algebra Number Theory 7(6): 1325-1352 (2013). DOI: 10.2140/ant.2013.7.1325


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, which we will discuss as well.


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Tim Dokchitser. Vladimir Dokchitser. "Identifying Frobenius elements in Galois groups." Algebra Number Theory 7 (6) 1325 - 1352, 2013.


Received: 4 August 2011; Revised: 9 May 2012; Accepted: 7 June 2012; Published: 2013
First available in Project Euclid: 20 December 2017

zbMATH: 1368.11115
MathSciNet: MR3107565
Digital Object Identifier: 10.2140/ant.2013.7.1325

Primary: 11R32
Secondary: 11R42 , 12F10

Keywords: Artin representations , Frobenius elements , Galois groups

Rights: Copyright © 2013 Mathematical Sciences Publishers

Vol.7 • No. 6 • 2013
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