TY - THES
A1 - Boy, Maximilian
T1 - On the Second Class Group of Real Quadratic Number Fields
N2 - This thesis generalizes the Cohen-Lenstra heuristic for the class groups of real quadratic
number fields to higher class groups. A "good part" of the second class group is defined.
In general this is a non abelian proper factor group of the second class group. Properties
of those groups are described, a probability distribution on the set of those groups is in-
troduced and proposed as generalization of the Cohen-Lenstra heuristic for real quadratic
number fields. The calculation of number field tables which contain information about
higher class groups is explained and the tables are compared to the heuristic. The agree-
ment is close. A program which can create an internet database for number field tables is
presented.
KW - Cohen-Lenstra heuristic
KW - real quadratic number fields
KW - probability distribution
KW - second class group
Y1 - 2012
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2885
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-28856
ER -