Ariel Pacetti on Fri, 17 Jun 2005 13:50:12 +0200

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Galois test

Is there a routine for checking wether a number field extension is Galois? I couldn´t find one, but probably there is some "naive" way to do that like:


and check wether all the factors have degree one or not. Is there a better (or faster) way? (like no using nfinit which takes too long if the polynomial is big enough).