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Title: Asymptotics of number fields and the Cohen-Lenstra heuristics
Authors: Klüners, Jürgen
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2005
Publisher: Universität Kassel, FB 17, Mathematik/Informatik
Series/Report no.: Mathematische Schriften Kassel05, 12
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.
URI: urn:nbn:de:hebis:34-200604069117
Appears in Collections:Mathematische Schriften Kassel

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