Loeffler, David (2017) Images of adelic Galois representations for modular forms. Glasgow Journal of Mathematics, 59 (1). pp. 11-25. doi:10.1017/S0017089516000367

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Abstract

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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Geometry, Algebraic, Galois modules (Algebra), Galois theory
Journal or Publication Title:	Glasgow Journal of Mathematics
Publisher:	Cambridge University Press
ISSN:	0017-0895
Official Date:	January 2017
Dates:	Date Event January 2017 Published 3 August 2016 Available 2 June 2016 Accepted 16 December 2016 Submitted
Volume:	59
Number:	1
Page Range:	pp. 11-25
DOI:	10.1017/S0017089516000367
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Royal Society (Great Britain). Leverhulme Senior Research Fellowship (RSLSRF), National Science Foundation (U.S.) (NSF)
Grant number:	0932078000 (NSF)
Related URLs:	Publisher

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