Relating two genus 0 problems of John Thompson [article]

Michael D. Fried
2009 arXiv   pre-print
The "relating" entwines three problems: 1. Davenport's Problem, describing pairs of polynomials over Q whose ranges on Z/p are the same for almost all p. 2. Showing that the monodromy groups of rational function maps over the complexes are limited to a finite set of groups, outside of groups close to alternating groups (example, symmetric groups) with special representations, and dihedral and cyclic groups. 3. Relating the genus 0 modular curves to the character group of the Monster simple
more » ... , so-called Monstrous Moonshine. has a more detailed exposition on the paper; gives a separate description of genus 0 problem #2.
arXiv:0910.3974v1 fatcat:ifadhre3ajfgbjuntrh4knibvu