The Iwasawa invariant μ for quadratic fields

Frank E., III Gerth

Vol. 80 (1979), No. 1, 131–136

DOI: 10.2140/pjm.1979.80.131

Abstract

We let k₀ be a quadratic extension field of the rational numbers, and we let l be a rational prime number. In this paper we show that there exists a constant c (depending on k₀ and l) such that the Iwasawa invariant μ(K∕k₀) ≦ c for all Z_l-extensions K of k₀. In certain cases we give explicit values for c.

Mathematical Subject Classification

Primary: 12A35, 12A35

Milestones

Received: 4 April 1978

Published: 1 January 1979