Reference : Tame Galois realizations of $ GL_2(\Bbb F_l)$ over $\Bbb Q$
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11846
Tame Galois realizations of $ GL_2(\Bbb F_l)$ over $\Bbb Q$
English
Arias De Reyna Dominguez, Sara mailto [University of Luxembourg]
Vila, Núria [University of Barcelona > d’Àlgebra i Geometria]
2009
Journal of Number Theory
129
5
1056--1065
Yes
International
0022-314X
[en] Tame ramification ; Galois extension ; Supersingular elliptic curve
[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.
Researchers
http://hdl.handle.net/10993/11846
10.1016/j.jnt.2008.09.020
2516972 (2010c:11065)

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