
theorem Gsplit:
for p being Prime
for n being non zero Nat
for F being GaloisField of p|^n holds F is SplittingField of X^(p|^n,Z/p)
proof
let p be Prime, n be non zero Nat, F being GaloisField of p|^n;
order F = p|^n & PrimeField F = Z/p by PF,defGal;
hence thesis by split;
end;
