Asymptotics of number fields and the Cohen-Lenstra heuristics
| dc.date.accessioned | 2006-04-06T13:57:37Z | |
| dc.date.available | 2006-04-06T13:57:37Z | |
| dc.date.issued | 2005 | |
| dc.identifier.uri | urn:nbn:de:hebis:34-200604069117 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/200604069117 | |
| dc.format.extent | 202851 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Universität Kassel, FB 17, Mathematik/Informatik | eng |
| dc.rights | Urheberrechtlich geschützt | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | Gruppentheorie | eng |
| dc.subject | Asymptotics of number fields | eng |
| dc.subject | Cohen-Lenstra heuristics | eng |
| dc.subject.ddc | 510 | |
| dc.title | Asymptotics of number fields and the Cohen-Lenstra heuristics | eng |
| dc.type | Preprint | |
| dcterms.abstract | We study the asymptotics conjecture of Malle for dihedral groups Dl of order 2l, where l is an odd prime. We prove the expected lower bound for those groups. For the upper bounds we show that there is a connection to class groups of quadratic number fields. The asymptotic behavior of those class groups is predicted by the Cohen-Lenstra heuristics. Under the assumption of this heuristic we are able to prove the expected upper bounds. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Klüners, Jürgen | |
| dcterms.isPartOf | Mathematische Schriften Kassel | eng |
| dcterms.isPartOf | 05, 12 | eng |
| dcterms.source.journal | Mathematische Schriften Kassel | |
| dcterms.source.volume | 05, 12 |
