Geodesic
ON THE IDEAL CLASS GROUP OF CERTAIN QUADRATIC FIELDS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 575-581

Voir la notice de l'article provenant de la source Cambridge University Press

Let n(≥ 3) be an odd integer. Let k:= be the imaginary quadratic field and k′:= the real quadratic field. In this paper, we prove that the class number of k is divisible by 3 unconditionally, and the class number of k′ is divisible by 3 if n(≥ 9) is divisible by 3. Moreover, we prove that the 3-rank of the ideal class group of k is at least 2 if n(≥ 9) is divisible by 3.
DOI : 10.1017/S0017089510000431
Mots-clés : 11R11, 11R29 
KISHI, YASUHIRO. ON THE IDEAL CLASS GROUP OF CERTAIN QUADRATIC FIELDS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 575-581. doi: 10.1017/S0017089510000431
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