Polynomial Mappings mod p^n

Abstract

Let f(x) be a polynomial with integer coefficients, let n be a positive integer, and let p be an odd prime. Then the mapping x-->f(x) sends Z/p^n into Z/p^n. We study the topological structure of this mapping.

23 pages, 7 figures. Text unchanged from version of August 1994

Cited by in corpus (5)

• Dynamics of the square mapping on the ring of $p$-adic integers
• Dynamics of convergent power series on the integral ring of a finite extension of $\Qp$
• On minimal decomposition of $p$-adic homographic dynamical systems
• Dynamics of Chebyshev polynomials on ${\mathbb{Z}}_2$
• Minimality of p-adic rational maps with good reduction