The class group of zp-extensions over totally real number fields

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Let p be an odd prime. We shall give a criterion for p-divisibility of the class number of the w-th layer of a Zp-extension over a certain totally real number field by means of the value of the p-adic zeta function. We shall also discuss the capitulation in such a Zp-extension and a sufficient condition for the Iwasawa λ andπ-invariants of it to vanish.

Original languageEnglish
Pages (from-to)431-435
Number of pages5
JournalTohoku Mathematical Journal
Issue number3
Publication statusPublished - 1997 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'The class group of z<sub>p</sub>-extensions over totally real number fields'. Together they form a unique fingerprint.

Cite this