The cycle structure of a Markoff automorphism over finite fields

Alois Cerbu, Elijah Gunther, Michael Magee +1

We begin an investigation of the action of pseudo-Anosov elements of $\mathrm{Out}({\mathbf{F}}_2)$ on the Markoff-type varieties \[ \mathbb{X}_κ:\:x^{2}+y^{2}+z^{2}=xyz+2+κ\] over…