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Ranks of Sylow 3-subgroups of ideal class groups of certain cubic fields


Author: Frank Gerth III
Journal: Bull. Amer. Math. Soc. 79 (1973), 521-525
MSC (1970): Primary 12A30, 12A35, 12A65; Secondary 12A25, 12A50
MathSciNet review: 0314797
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  • 4. H. Hasse, Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper. Ia, Jber. Deutsch. Math. -Verein. 36 (1927), 233-311.
  • 5. A. Borel, S. Chowla, C. S. Herz, K. Iwasawa, and J.-P. Serre, Seminar on complex multiplication, Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957-58. Lecture Notes in Mathematics, No. 21, Springer-Verlag, Berlin-New York, 1966. MR 0201394
  • 6. Heinrich-Wolfgang Leopoldt, Zur Struktur der 𝑙-Klassengruppe galoisscher Zahlkörper, J. Reine Angew. Math. 199 (1958), 165–174 (German). MR 0096633
  • 7. Hideo Wada, On cubic Galois extensions of 𝑄(√-3), Proc. Japan Acad. 46 (1970), 397–400. MR 0366867

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DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13183-0