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

Manabu Ozaki

doi:10.1017/S0027763000008485

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

Manabu Ozaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	179-190
Number of pages	12
Journal	Nagoya Mathematical Journal
Volume	169
DOIs	https://doi.org/10.1017/S0027763000008485
Publication status	Published - 2003 Mar
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S0027763000008485

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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",

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ER -

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

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