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

Autor
Llorente, P.; Quer, J.
Tipus d'activitat
Article en revista
Revista
Mathematics of computation
Data de publicació
1988-03
Volum
50
Número
181
Pàgina inicial
321
Pàgina final
333
DOI
https://doi.org/10.1090/S0025-5718-1988-0917838-7 Obrir en finestra nova
URL
http://www.ams.org/journals/mcom/1988-50-181/S0025-5718-1988-0917838-7/ Obrir en finestra nova
Resum
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.
Grup de recerca
TN - Grup de Recerca en Teoria de Nombres

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