4.2 Article

Permutation polynomials and group permutation polynomials

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AUSTRALIAN MATHEMATICS PUBL ASSOC INC
DOI: 10.1017/S0004972700019110

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Permutation polynomials of the form x(r)(x(s)) over a finite field give rise to group permutation polynomials. We give a group theoretic criterion and some other criteria in terms of symmetric functions and power functions.

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