Vol. 176, No. 1, 1996

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On a theorem of Koch

Farshid Hajir

Vol. 176 (1996), No. 1, 15–18
Abstract

We give a short proof of a slightly stronger version of a theorem of Koch: A complex quadratic field whose ideal class group contains a subgroup of type (4,4,4) possesses an infinite unramified Galois pro-2 extension.

Mathematical Subject Classification 2000
Primary: 11R37
Secondary: 11R29
Milestones
Received: 10 December 1993
Revised: 7 December 1994
Published: 1 November 1996
Authors
Farshid Hajir
Department of Mathematics and Statistics
University of Massachusetts
1623C Lederle Graduate Research Tower
710 N. Pleasant Street
Amherst MA 01003
United States
http://www.math.umass.edu/~hajir/