DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Kwang-Seob | ko |
dc.contributor.author | Koenig, Joachim | ko |
dc.date.accessioned | 2020-03-19T02:20:14Z | - |
dc.date.available | 2020-03-19T02:20:14Z | - |
dc.date.created | 2020-02-26 | - |
dc.date.created | 2020-02-26 | - |
dc.date.issued | 2020-01 | - |
dc.identifier.citation | RAMANUJAN JOURNAL, v.51, no.1, pp.205 - 228 | - |
dc.identifier.issn | 1382-4090 | - |
dc.identifier.uri | http://hdl.handle.net/10203/272575 | - |
dc.description.abstract | Let K be a number field and K-ur be the maximal extension of K that is unramified at all places. In a previous article (Kim, J Number Theory 166:235-249, 2016), the first author found three real quadratic fields K such that Gal(K-ur/K) is finite and non-abelian simple under the assumption of the generalized Riemann hypothesis (GRH). In this article, we extend the methods of Kim (2016) and identify more quadratic number fields K such that Gal(K-ur/K) is a finite nonsolvable group and also explicitly calculate their Galois groups under the assumption of the GRH. In particular, we find the first imaginary quadratic field with this property. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Some examples of quadratic fields with finite non-solvable maximal unramified extensions II | - |
dc.type | Article | - |
dc.identifier.wosid | 000511760800012 | - |
dc.identifier.scopusid | 2-s2.0-85053524065 | - |
dc.type.rims | ART | - |
dc.citation.volume | 51 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 205 | - |
dc.citation.endingpage | 228 | - |
dc.citation.publicationname | RAMANUJAN JOURNAL | - |
dc.identifier.doi | 10.1007/s11139-018-0046-3 | - |
dc.contributor.nonIdAuthor | Kim, Kwang-Seob | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Nonsolvable unramified extensions of number fields | - |
dc.subject.keywordAuthor | Class number one problems | - |
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