- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem!
-----
Problem: Let $F$ be a field, $f\in F[x]$ be a polynomial of degree $n$, and let $K$ be a splitting field of $f$. Prove that $[K:F]$ divides $n!$.
-----
Remember to read the POTW submission guidelines to find out how to submit your answers!
-----
Problem: Let $F$ be a field, $f\in F[x]$ be a polynomial of degree $n$, and let $K$ be a splitting field of $f$. Prove that $[K:F]$ divides $n!$.
-----
Remember to read the POTW submission guidelines to find out how to submit your answers!