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The Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations (Memoirs of the American Mathematical Society)
The Rational Function Analogue of a Question of Schur and Exceptionality of Permutation Representations - Memoirs of the American Mathematical Society
Author: Robert M. Guralnick, Peter Muller, J. Saxl
In 1923 Schur considered the problem of which polynomials $f\in\mathbb{Z}[X]$ induce bijections on the residue fields $\mathbb{Z}/p\mathbb{Z}$ 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 rat...  more »
ISBN-13: 9780821832882
ISBN-10: 0821832883
Publication Date: 3/1/2003
Pages: 79
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Publisher: American Mathematical Society
Book Type: Mass Market Paperback
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