Algebra & Number Theory
- Algebra Number Theory
- Volume 10, Number 2 (2016), 215-234.
Kummer theory for Drinfeld modules
Let be a Drinfeld -module of characteristic over a finitely generated field . Previous articles determined the image of the absolute Galois group of up to commensurability in its action on all prime-to- torsion points of , or equivalently, on the prime-to- adelic Tate module of . In this article we consider in addition a finitely generated torsion free -submodule of for the action of through . We determine the image of the absolute Galois group of up to commensurability in its action on the prime-to- division hull of , or equivalently, on the extended prime-to- adelic Tate module associated to and .
Algebra Number Theory, Volume 10, Number 2 (2016), 215-234.
Received: 21 February 2012
Revised: 11 July 2012
Accepted: 5 November 2012
First available in Project Euclid: 16 November 2017
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Pink, Richard. Kummer theory for Drinfeld modules. Algebra Number Theory 10 (2016), no. 2, 215--234. doi:10.2140/ant.2016.10.215. https://projecteuclid.org/euclid.ant/1510842479