### 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 |

Publication status | Published - 2003 Mar |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**An application of Iwasawa theory to constructing fields q(ζ _{n} + ζ_{n}
^{-1}) which have class group with large p-rank.** / Ozaki, Manabu.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - An application of Iwasawa theory to constructing fields q(ζ n + ζn -1) which have class group with large p-rank

AU - Ozaki, Manabu

PY - 2003/3

Y1 - 2003/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037495945&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037495945&partnerID=8YFLogxK

M3 - Article

VL - 169

SP - 179

EP - 190

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

SN - 0027-7630

ER -