An algorithm determining the set of lengths of polynomial cycles in $Z_K^N$
Volume 166 / 2021
Colloquium Mathematicum 166 (2021), 151-169
MSC: Primary 11R09; Secondary 11S82, 37P35.
DOI: 10.4064/cm8188-2-2021
Published online: 28 June 2021
Abstract
We give a finitary procedure of finding the set of lengths of cycles for polynomial mappings in several variables over discrete valuation domains. As a consequence, we obtain a procedure of determining the set of cycle-lengths of $N\ge 2$ variables over $Z_K$ for any algebraic number field $K$. In our earlier paper, we gave a procedure working for one variable only.
