# Thread: Splitting Field of f in F[t] if F=Z/pZ

1. ## Splitting Field of f in F[t] if F=Z/pZ

Find a splitting field of f in F[t] if F = Z/pZ and f = t^p^e – t, e >0.

Can someone please give an outline of the existence proof?

THANKS!

2. Originally Posted by mcasolin

Find a splitting field of f in F[t] if F = Z/pZ and f = t^p^e – t, e >0.

Can someone please give an outline of the existence proof?

THANKS!
the finite field of order $p^e.$

3. Thanks