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On the 3-sylow subgroup of the class group of quadratic fields

Author
Llorente, P.; Quer, J.
Type of activity
Journal article
Journal
Mathematics of computation
Date of publication
1988-03
Volume
50
Number
181
First page
321
Last page
333
DOI
https://doi.org/10.1090/S0025-5718-1988-0917838-7 Open in new window
URL
http://www.ams.org/journals/mcom/1988-50-181/S0025-5718-1988-0917838-7/ Open in new window
Abstract
In this paper we give a large number of quadratic fields Q(fd) whose class group H(d) has 3-Sylow subgroup H3(d) with rank r3(d)> 1. They include 20 discriminants d < 0 with r^(d)= 5. The associate real fields have r}(d')= 4. The distribution of the Hy(d) is studied and its relative frequency is compared with the heuristic conjectures of Cohen and Lenstra. Some of the H(d) are recorded since they are of special interest. Some related topics are also considered.
Group of research
TN - Number Theory Research Group

Participants