Dear Gap-Forum.
Is the folllowing a bug or a feature:
/tmp_mnt/nfs/grad/mikec.3 gap
gap> x:=Indeterminate(Rationals);;
gap> y:=x^9+x^2-1;;
gap> e:=AlgebraicExtension(y);;
gap> Galois(y);
Error, Variable: 'TRANSDEGREES' must have a value
gap> IsNormalExtension(e);
false
gap> Galois(y);
34
It would appear to me that it is rather a bug, since, perhaps,
one should not bother with creating Algebraic Extension with
polynomial and then (!) checking it for normality, if there is
a command to compute the Galois group of polynomial itself.
I must admit though that I'm using quite ancient version of GAP,
so this might have been fixed for some time. If this is the case -
I am sorry.
Michael.