Is it possible to generalise the Galois group definition for certain sets of polynomials

Hi all,

is it possible to generalise the Galois group definition for the
following sets of polynomials

P(x)=x^(6+4*n)+c*x^(2+4*n)-1

and

Q(x)=P(x)+2

n >= 0
c any complex number ;-)

with roots pi = ai + bi*I for polynomial P(x)
and roots qi = bi + ai*I for polynomial Q(x)

i=1 .. 4*n+6 the index for the roots
I=sqrt(-1)

Earlier this year there was a post on this subject under the
description:
"Transformation of complex arguments in polynomials" (June 22 Jürgen
Will)
I'm not sure how far they got but coincidentally i noticed some
polynomials
with this property and hence this post.

As an example:

For n=0, c=5 we get
P(x)=x^6+5*x^2-1
Q(x)=x^6+5*x^2+1

For n=2,c=1/3 we get
P(x)=x^14+1/3*x^10-1
Q(x)=x^14+1/3*x^10+1

Any comments are welcome.

Gerry
.

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