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Jan 31, 2017 at 23:38 comment added paul garrett I can't restrain myself from noting that posing the question in this fashion makes needless use of the class number and units simplicity for the rationals, thus, the possibility of choosing "sections" of natural quotient maps. If, instead, one forces oneself to take a somewhat more "natural" viewpoint that avoids taking advantage of any such coincidences, one is led to more robust versions of such questions. But, yes, as a transitional stage, cyclotomic extensions of the rationals did historically provide motivations, and are (by various such accidents) simpler than the general case.
May 14, 2016 at 16:15 history edited GH from MO
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Jan 19, 2012 at 0:28 answer added Kevin Ventullo timeline score: 3
Jan 16, 2012 at 18:34 answer added GH from MO timeline score: 3
Jan 16, 2012 at 17:58 history asked asdf CC BY-SA 3.0