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An application of Iwasawa theory to constructing fields Q(ζn + ) which have class group with large p-rank

Published online by Cambridge University Press:  22 January 2016

Manabu Ozaki
Manabu Ozaki*
Affiliation:
Department of Mathematics, Faculty of Science and Engineering, Shimane University, 1060, Nishikawatsu-cho, Matsue 690-8504, Japan, ozaki@math.shimane-u.ac.jp
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Abstract

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Let p be an odd prime number. By using Iwasawa theory, we shall construct cyclotomic fields whose maximal real subfields have class group with arbitrarily large p-rank and conductor with only four prime factors.

Keywords

11R2311R1811R29
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 169 , 2003 , pp. 179 - 190
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

References

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