Asymptotics of number fields and the Cohen-Lenstra heuristics

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dc.date.accessioned2006-04-06T13:57:37Z
dc.date.available2006-04-06T13:57:37Z
dc.date.issued2005
dc.format.extent202851 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.uriurn:nbn:de:hebis:34-200604069117
dc.identifier.urihttp://hdl.handle.net/123456789/200604069117
dc.language.isoeng
dc.publisherUniversität Kassel, FB 17, Mathematik/Informatikeng
dc.rightsUrheberrechtlich geschützt
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectGruppentheorieeng
dc.subjectAsymptotics of number fieldseng
dc.subjectCohen-Lenstra heuristicseng
dc.subject.ddc510
dc.titleAsymptotics of number fields and the Cohen-Lenstra heuristicseng
dc.typePreprint
dcterms.abstractWe 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.accessRightsopen access
dcterms.creatorKlüners, Jürgen
dcterms.isPartOfMathematische Schriften Kasseleng
dcterms.isPartOf05, 12eng
dcterms.source.journalMathematische Schriften Kassel
dcterms.source.volume05, 12

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