A family of exceptional polynomials in characteristic three
نویسندگان
چکیده
We present a family of indecomposable polynomials of non prime-power degree over the finite field of three elements which are permutation polynomials over infinitely many finite extensions of the field. The associated geometric monodromy groups are the simple groups PSL2(3 ), where k≥3 is odd. This realizes one of the few possibilities for such a family which remain following the deep work of Fried, Guralnick and Saxl. Acknowledgements. The first author was supported by NSF grant 9224205 and by a bezoekersbeurs of the Nederlandse organisatie voor wetenschappelijk onderzoek (NWO).
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تاریخ انتشار 1996