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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
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 | ||||
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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: |
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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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