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arXiv · 2108.03123

Integral points in orbits in characteristic $p$

Alexander Carney·Wade Hindes·Thomas J. Tucker
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Abstract

We prove a characteristic $p$ version of a theorem of Silverman on integral points in orbits over number fields and establish a primitive prime divisor theorem for polynomials in this setting. We provide some applications of these results, including a finite index theorem for arboreal representations coming from quadratic polynomials over function fields of odd characteristic.

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Alexander Carney, Wade Hindes, Thomas J. Tucker. 2021-08-06. Integral points in orbits in characteristic $p$. https://doi.org/10.2140/ant.2023.17.1573

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