Re: Galois groups wanted


Kent Holing wrote:
> Can somebody also provide an example with n = 8 and G = Z8?

This is Dr. Klueners's site for n = 8,

http://www.mathematik.uni-kassel.de/~klueners/minimum/node45.html

with all 50 transitive groups given. They use the naming convention of
GAP or MAGMA so if you are looking for 8T1, aka C(8)=8, then an
example with 8 real roots (sig) is given by x^8 - x^7 - 7*x^6 + 6*x^5 +
15*x^4 - 10*x^3 - 10*x^2 + 4*x + 1. And so on for all 50 groups.

(P.S. My favorite is the solvable 8T25 since with this group, one has
to go through the 7th root of unity.)

--Titus

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