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

Manabu Ozaki

doi:10.2748/tmj/1178225114

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

Manabu Ozaki

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

12 Citations (Scopus)

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 Z_p-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 Z_p-extension and a sufficient condition for the Iwasawa λ andπ-invariants of it to vanish.

Original language	English
Pages (from-to)	431-435
Number of pages	5
Journal	Tohoku Mathematical Journal
Volume	49
Issue number	3
DOIs	https://doi.org/10.2748/tmj/1178225114
Publication status	Published - 1997 Jan 1

ASJC Scopus subject areas

Mathematics(all)

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Ozaki, M. (1997). The class group of z_p-extensions over totally real number fields. Tohoku Mathematical Journal, 49(3), 431-435. https://doi.org/10.2748/tmj/1178225114

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