A prime-to-p version of the Grothendieck anabelian conjecture for   hyperbolic curves over finite fields of characteristic p>0
  In this paper, we prove a prime-to-p version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields of characteristic p>0, whose original (full profinite) version was proved by Tamagawa in the affine case and by Mochizuki in the proper case. 
Mohamed Saidi and Akio Tamagawa