TY - JOUR AU - Jason K. C. Polak, PY - 2021/01/08 Y2 - 2024/03/28 TI - The Polypermutation Group of an Associative Ring JF - Contemporary Mathematics JA - Contemp. Math. VL - 2 IS - 1 SE - Research Article DO - 10.37256/cm.212021456 UR - https://ojs.wiserpub.com/index.php/CM/article/view/456 SP - 15-23 AB - <p>We study permutation polynomials through the device of the polypermutation group of an associative ring <em>R</em>, denoted by Pgr(<em>R</em>). We derive some basic properties and compute the cardinality of Pgr(Z/<em>p</em><sup><em>k </em></sup>) when<em> p</em> ≥ <em>k</em>. We use this computation to determine the structure of Pgr(Z/<em>p</em><sup>2</sup> ).</p> ER -