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From: arvind@utcsri.UUCP
Newsgroups: ut.theory
Subject: THEORY NET: Field extensions
Message-ID: <5470@utcsri.UUCP>
Date: Tue, 29-Sep-87 10:43:35 EDT
Article-I.D.: utcsri.5470
Posted: Tue Sep 29 10:43:35 1987
Date-Received: Wed, 30-Sep-87 03:05:03 EDT
Distribution: ut
Organization: CSRI, University of Toronto
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Date:         Thu, 24 Sep 87 07:49:44 EDT
From: HUGH_L._MONTGOMERY@ub.cc.umich.edu
Subject:      Field extensions

     David Grant, a colleague of mine in the Math. Dept. here, asks the
following question.  Suppose that K is a totally complex extension with
class number 1 of the rationals.  Can K have a non-trivial unramified
extension?
     -----Hugh L. Montgomery