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
Publication statusPublished - 2003 Mar
Externally publishedYes

Fingerprint

Iwasawa Theory
P-rank
Cyclotomic Fields
Class Group
Prime factor
Subfield
Odd number
Prime number
Conductor

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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title = "An application of Iwasawa theory to constructing fields q(ζ n + ζn -1) which have class group with large p-rank",
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.",
author = "Manabu Ozaki",
year = "2003",
month = "3",
language = "English",
volume = "169",
pages = "179--190",
journal = "Nagoya Mathematical Journal",
issn = "0027-7630",
publisher = "Nagoya University",

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