NDLI: A non-solvable extension of ℚ unramified outside 7

Content Provider	Scilit
Author	Dieulefait, Luis V.
Copyright Year	2012
Description	Journal: Compositio Mathematica We consider a mod 7 Galois representation attached to a genus 2 Siegel cusp form of level 1 and weight 28 and using some of its Fourier coefficients and eigenvalues computed by N. Skoruppa and the classification of maximal subgroups of PGSp(4,p) we show that its image is as large as possible. This gives a realization of PGSp(4,7) as a Galois group over ℚ and the corresponding number field provides a non-solvable extension of ℚ which ramifies only at 7.
Ending Page	674
Starting Page	669
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x11007408
Journal	Compositio Mathematica
Issue Number	3
Volume Number	148
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2012-05-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Applied Mathematics Number Theory Galois Theory Siegel Modular Forms Maximal Subgroup Fourier Coefficient Galois Representations Galois Representation Galois Group
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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A non-solvable extension of ℚ unramified outside 7