Tame Galois realizations of $ GL_2(\Bbb F_l)$ over $\Bbb Q$

Reference : Tame Galois realizations of $ GL_2(\Bbb F_l)$ over $\Bbb Q$


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/11846

Title :	Tame Galois realizations of $ GL_2(\Bbb F_l)$ over $\Bbb Q$
Language :	English
Author, co-author :	Arias De Reyna Dominguez, Sara [University of Luxembourg]
	Vila, Núria [University of Barcelona > d’Àlgebra i Geometria]
Publication date :	2009
Journal title :	Journal of Number Theory
Volume :	129
Issue/season :	5
Pages :	1056--1065
Peer reviewed :	Yes
Audience :	International
ISSN :	0022-314X
Keywords :	[en] Tame ramification ; Galois extension ; Supersingular elliptic curve
Abstract :	[en] This paper concerns the tame inverse Galois problem. For each prime number l, we construct infinitely many semistable elliptic curves over Q with good supersingular reduction at l. The Galois action on the l-torsion points of these elliptic curves provides tame Galois realizations of GL_2(F_l) over Q.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/11846
DOI :	10.1016/j.jnt.2008.09.020
Commentary :	2516972 (2010c:11065)

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