2 citations · 2 across the 2 of their papers we have counts for
4 papers
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 is a finitely generated semigroup of rational functions over the complex numbe…
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…
Unlikely intersection problems for restricted lifts of p-th power
Wayne Peng
I define a morphism on called a lift of -th power if its natural restriction to the residue field of is a -th power of some morphism. This defin…
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 can be generated by affine unicritical polynomials. We use the group structure to compute the cycle structure of permuta…