Exponential growth of the $l$-rank of the class group of the maximal real subfield of cyclotomic fields
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- by Gary Cornell PDF
- Bull. Amer. Math. Soc. 8 (1983), 55-58
References
- Gary Cornell, Abhyankar’s lemma and the class group, Number theory, Carbondale 1979 (Proc. Southern Illinois Conf., Southern Illinois Univ., Carbondale, Ill., 1979) Lecture Notes in Math., vol. 751, Springer, Berlin, 1979, pp. 82–88. MR 564924 2. G. Cornell, Exponential growth of the l-rank of the class group in the maximal real subfield of cyclotomic fields and in related fields (in preparation).
- Gary Cornell and Lawrence C. Washington, Class numbers of cyclotomic fields, J. Number Theory 21 (1985), no. 3, 260–274. MR 814005, DOI 10.1016/0022-314X(85)90055-1
- A. Frölich, The genus field and genus group in finite number fields. I, II, Mathematika 6 (1959), 40–46, 142–146. MR 113868, DOI 10.1112/S0025579300001911
- A. Frölich, The genus field and genus group in finite number fields. I, II, Mathematika 6 (1959), 40–46, 142–146. MR 113868, DOI 10.1112/S0025579300001911 6. D. Kubert, The 2-primary part of the ideal class group of cyclotomic fields (to appear).
- Serge Lang, Units and class groups in number theory and algebraic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 253–316. MR 648522, DOI 10.1090/S0273-0979-1982-14997-7
Additional Information
- Journal: Bull. Amer. Math. Soc. 8 (1983), 55-58
- MSC (1980): Primary 12A35
- DOI: https://doi.org/10.1090/S0273-0979-1983-15082-6
- MathSciNet review: 682821