IMAGES OF ADELIC GALOIS REPRESENTATIONS FOR MODULAR FORMS
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 11-25

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We show that the image of the adelic Galois representation attached to a non-CM modular form is open in the adelic points of a suitable algebraic subgroup of GL2 (defined by F. Momose). We also show a similar result for the adelic Galois representation attached to a finite set of modular forms.
LOEFFLER, DAVID. IMAGES OF ADELIC GALOIS REPRESENTATIONS FOR MODULAR FORMS. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 11-25. doi: 10.1017/S0017089516000367
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