Suppose we have a polynomial $f \in \mathbb{Z}/p\mathbb{Z}[x]$, $f(x) = x^2 - x$. We are interested in elements $n \in \mathbb{Z}/p\mathbb{Z}$ such that after repeated application of f they eventually hit 0. Can we characterize them nicely depending on $p$?
2026-03-27 15:07:27.1774624047
properties of certain semigroup action on $\mathbb{Z}/p\mathbb{Z}$
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