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

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Abstract

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
Volume49
Issue number3
DOIs
Publication statusPublished - 1997 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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