Bulletin of the American Mathematical Society

Exponential growth of the $l$-rank of the class group of the maximal real subfield of cyclotomic fields

Author(s): Gary Cornell
Journal: Bull. Amer. Math. Soc. 8 (1983), 55-58.
MSC (1980): Primary 12A35
MathSciNet review: 682821
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1.: G. Cornell, Abhyankar's lemma and the class group, Number Theory (Carbondale), Lecture Notes in Math., vol. 751, Springer-Verlag, Berlin and New York, 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).
3.: G. Cornell and L. Washington, Class numbers of cyclotomic fields, J. Number Theory (to appear). MR 814005
4.: A. Fröhlich, Genus field and genus group in finite number fields. I, Mathematica 6 (1959), 40-46. MR 113868
5.: A. Fröhlich, Genus field and genus group in finite number fields. II, Mathematica 6 (1959), 142-146. MR 113868
6.: D. Kubert, The 2-primary part of the ideal class group of cyclotomic fields (to appear).
7.: S. Lang, Units and class groups in number theory and algebraic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), 253-316. MR 648522

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