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arXiv · 1707.00241

The Polypermutation Group of an Associative Ring

Jason K. C. Polak
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Abstract

We study permutation polynomials through the device of the \emph{polypermutation group} of an associative ring $R$, denoted by ${\rm Pgr}(R)$. We derive some basic properties and compute the cardinality of ${\rm Pgr}(\mathbb{Z}/p^k)$ when $p\geq k$. We use this computation to determine the structure of ${\rm Pgr}(\mathbb{Z}/p^2)$.

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Jason K. C. Polak. 2020-12-18. The Polypermutation Group of an Associative Ring. https://arxiv.org/abs/1707.00241

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