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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
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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 | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of 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 | ||||
| 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) |
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