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Nonsolvable number fields ramified only at 3 and 5

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Dembélé, Lassina, Greenberg, Matthew and Voight, John (2011) Nonsolvable number fields ramified only at 3 and 5. Compositio Mathematica, Vol.147 (No.3). pp. 716-734. doi:10.1112/S0010437X10005105 ISSN 0010-437X.

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Official URL: http://dx.doi.org/10.1112/S0010437X10005105

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Abstract

For p = 3 and p = 5, we exhibit a finite nonsolvable extension of Q which is ramified only at p, proving in the affirmative a conjecture of Gross. Our construction involves explicit computations with Hilbert modular forms.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Hilbert modular surfaces, Galois theory
Journal or Publication Title: Compositio Mathematica
Publisher: Cambridge University Press
ISSN: 0010-437X
Official Date: May 2011
Dates:
DateEvent
May 2011Published
Volume: Vol.147
Number: No.3
Page Range: pp. 716-734
DOI: 10.1112/S0010437X10005105
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 18 December 2015
Date of first compliant Open Access: 18 December 2015
Funder: Deutsche Forschungsgemeinschaft (DFG), Natural Sciences and Engineering Research Council of Canada (NSERC), National Science Foundation (U.S.) (NSF)
Grant number: SFB/TR 45 (DFG), DMS-0901971 (NSF)

Data sourced from Thomson Reuters' Web of Knowledge

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