Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

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
DOI: https://doi.org/10.1090/S0002-9904-1973-13183-0
MathSciNet review: 0314797
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. P. Barrucand and H. Cohn, A rational genus, class number divisibility, and unit theory for pure cubic fields, J. Number Theory 2 (1970), 7-21. MR 40 #2643. MR 249398
  • 2. P. Barrucand and H. Cohn, Remarks on principal factors in a relative cubic field, J. Number Theory 3 (1971), 226-239. MR 43 # 1945. MR 276197
  • 3. H. Hasse, Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper. I, Jber. Deutsch. Math. -Verein. 35 (1926), 1-55. MR 8077
  • 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. C. S. Herz, Construction of class fields, Seminar on Complex Multiplication, Lecture Notes in Math., vol. 21, Springer-Verlag, Berlin and New York, 1966. MR 34 # 1278. MR 201394
  • 6. H. W. Leopoldt, Zur Struktur der l-Klassengruppe galoisscher Zahlkörper, J. Reine Angew. Math. 199 (1958), 165-174. MR 20 #3116. MR 96633
  • 7. H. Wada, On cubic Galois extensions of Q(√-3), Proc. Japan Acad. 46 (1970), 397-400. MR 366867

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 12A30, 12A35, 12A65, 12A25, 12A50

Retrieve articles in all journals with MSC (1970): 12A30, 12A35, 12A65, 12A25, 12A50


Additional Information

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

American Mathematical Society