[ut.theory] THEORY NET: Field extensions

arvind@utcsri.UUCP (09/29/87)

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