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

About this Title

Robert M. Guralnick, Peter Müller and Jan Saxl

Publication: Memoirs of the American Mathematical Society
Publication Year 2003: Volume 162, Number 773
ISBNs: 978-0-8218-3288-2 (print); 978-1-4704-0371-3 (online)
MathSciNet review: 1955160
MSC: Primary 12E30; Secondary 11G05, 11G15, 20B15

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Table of Contents


  • 1. Introduction
  • 2. Arithmetic-geometric preparation
  • 3. Group theoretic exceptionality
  • 4. Genus 0 condition
  • 5. Dickson polynomials and Rédei functions
  • 6. Rational functions with Euclidean signature
  • 7. Sporadic cases of arithmetic exceptionality