Wayne Peng

activity

20192022

most citedA Tits alternative for rational functions

2 citations · 2 across the 3 of their papers we have counts for

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math.NT2021★ 2 cited

A Tits alternative for rational functions

Jason P. Bell, Keping Huang, Wayne Peng +1

We prove an analog of the Tits alternative for rational functions. In particular, we show that if $S$ is a finitely generated semigroup of rational functions over the complex numbe…

math.NT2020

A Unique Chief Series in the arboreal Galois Group of Belyi Maps

Wayne Peng

We give a complete description of the normal subgroups of arboreal Galois groups of Belyi maps. The normal groups form a unique chief series. We also carefully compute the discrimi…

math.NT2019

Permutation polynomials: iteration of shift and inversion maps over finite fields

Anna Chlopecki, Juliano Levier-Gomes, Wayne Peng +2

We show that all permutations in $S_{n}$ can be generated by affine unicritical polynomials. We use the $PGL$ group structure to compute the cycle structure of permuta…