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A New Criterion for Permutation Polynomials

✍ Scribed by G. Turnwald


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
803 KB
Volume
1
Category
Article
ISSN
1071-5797

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Let \(R\) be a commutative ring with 1 , let \(R\left[X_{1}, \ldots, X_{n}\right]\) be the polynomial ring in \(X_{1}, \ldots, X_{n}\) over \(R\) and let \(G\) be an arbitrary group of permutations of \(\left\{X_{1}, \ldots, X_{n}\right\}\). The paper presents an algorithm for computing a small fini

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Garsia (1988) gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.