A characteristic-prime criterion for complete permutation monomials
Let ppp be an odd prime, let n+1=pn+1=pn+1=p, and set … Let a∈Fpnk∗a\in\mathbb{F}_{p^{nk}}^*a∈Fpnk∗ satisfy apk−1=−1a^{p^k-1}=-1apk−1=−1. Complete permutation monomial conjecture. The monomial a−1xda^{-1}x^da−1xd is a comp…