An application of Iwasawa theory to constructing fields q(ζ n + ζn-1) which have class group with large p-rank

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Abstract

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.

Original languageEnglish
Pages (from-to)179-190
Number of pages12
JournalNagoya Mathematical Journal
Volume169
DOIs
Publication statusPublished - 2003 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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