Suppose is the splitting field of an irreducible polynomial . What is a general condition to have ? Is there a systematic way to test if that is the case, given ?
Suppose is the splitting field of an irreducible polynomial . What is a general condition to have ? Is there a systematic way to test if that is the case, given ?
as far as i know there's no general condition in this case but if we replace with any finite field, then the result is always true. (the proof is quite easy!)