The Polypermutation Group of an Associative Ring

  • Jason K. C. Polak School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria 3010, Australia
Keywords: permutation group, polynomial, associative ring


We study permutation polynomials through the device of the polypermutation group of an associative ring R, denoted by Pgr(R). We derive some basic properties and compute the cardinality of Pgr(Z/pk ) when pk. We use this computation to determine the structure of Pgr(Z/p2 ).

How to Cite
Jason K. C. Polak. The Polypermutation Group of an Associative Ring. Contemporary Mathematics [Internet]. 2021Jan.8 [cited 2021Jan.22];2(1). Available from: