21. December 2012

Sylow p-groups of polynomial permutations on the integers mod pn

Abstract

Let p be a prime and n a positive integer. The polynomial permutations of the integers modulo p^n form a group with respect to composition. The order of this group is well known, whereas only few is known about its structure. In this talk we describe the Sylow p^n-groups of that group.

  • This talk was given at Conference on commutative rings, integer-valued polynomials and polynomial functions in Graz (Austria), December 16–22, 2012.
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