The crystalline period of a height one $p$-adic dynamical system over ${\mathbf{Z}}_p$

Joel Specter

Let $f$ be a continuous ring endomorphism of ${\mathbf{Z}}_p[[x]]/{\mathbf{Z}}_p$ of degree $p.$ We prove that if $f$ acts on the tangent space at $0$ by a uniformizer and commutes wit…