IRREDUCIBILITY AND MULTIPLICATIVE COMPOSITION OF POLYNOMIALS OVER FINITE FIELDS

Leila Benferhat, Omar Kihel, Jesse Larone, Rezki Ould Mohamed

Abstract


The aim of this paper is to provide integral polynomials irreducible
over Z which are reducible over Fp for every prime p. In particular, we show that
certain composed products of integral polynomials are reducible modulo p for all
primes p.


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DOI: https://doi.org/10.2478/tmmp-2023-0001