Galois test

[Ariel Pacetti <apacetti@math.utexas.edu>]

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:

nffactor(nfinit(P),P)

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).
Cheers,

Ariel