On the unit group of some multiquadratic number fields

Elliot Benjamin, Franz Lemmermeyer and Chip Snyder

Vol. 230 (2007), No. 1, 27–40

DOI: 10.2140/pjm.2007.230.27

Abstract

We study the index of the group of units in the genus field of an imaginary quadratic number field modulo the subgroup generated by the units of the quadratic subfields (over ℚ) of the genus field.

Keywords

unit index, Kuroda’s class number formula, multiquadratic fields

Mathematical Subject Classification 2000

Primary: 11R11

Secondary: 11R27, 11R29

Milestones

Received: 14 August 2005

Accepted: 23 May 2006

Published: 1 March 2007