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(An,Sn) Realizations by Polynomials—On a Question of Fried

✍ Scribed by Peter Müller

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 169 KB
Volume: 4
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0228

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✦ Synopsis

While disproving a conjecture of Cohen about monodromy groups of polynomials and applying this to give new counterexamples to a question of Chowla and Zassenhaus in an earlier paper (1995, M. Fried, Finite Fields Appl., 1, 326-359), Fried asked whether there are polynomials over 0 of odd square degree n with geometric and arithmetic monodromy group the alternating group A n and symmetric group S n , respectively. In this note we give two different proofs that such polynomials do not exist.

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