The rational function analogue of a question of Schur and exceptionality of permutation representations

Abstract

In 1923 Schur considered the following problem. Let f ∈ Z[X] be a polynomial that induces a bijection on the residue fields Z/pZ for infinitely many primes p. His conjecture, that such polynomials are compositions of linear and Dickson polynomials, was proved by M. Fried in 1970. Here we investigate the analogous question for rational functions, and also we… (More)

Topics

1 Figure or Table

Cite this paper

@inproceedings{Guralnick2008TheRF, title={The rational function analogue of a question of Schur and exceptionality of permutation representations}, author={Robert M. Guralnick and Peter M{\"u}ller and Jan Saxl}, year={2008} }