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.

Preview

PDF WRAP_Dembele_S0010437X10005105a.pdf - Published Version - Requires a PDF viewer. Download (1005Kb)

Request Changes to record.

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:	Date Event May 2011 Published
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

Request changes or add full text files to a record

Repository staff actions (login required)

View Item

Downloads