Sylow $p$-groups of polynomial permutations on the integers mod $p^n$

TL;DR

This paper characterizes the Sylow p-groups within the group of polynomial permutations on integers modulo p^n, providing structural insights into these permutation groups.

Contribution

It offers a detailed description of the Sylow p-groups for polynomial permutation groups modulo p^n, a novel structural analysis in this context.

Findings

Explicit description of Sylow p-groups

Structural insights into permutation groups mod p^n

Foundation for further algebraic investigations

Abstract

We describe the Sylow $p$-groups of the group of polynomial permutations of the integers mod $p^n$.