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

• April 20th 2009, 05:54 PM
mcasolin
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!
• April 20th 2009, 06:25 PM
NonCommAlg
Quote:

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 $p^e.$
• April 20th 2009, 08:55 PM
mcasolin
Thanks :)