Sign of Permutations Induced by Anick and Nagata-Anick Automorphisms over Finite Fields

Keisuke Hakuta

Journal of Mathematics Research, 2017, vol. 9, issue 4, 23-29

Abstract: In this paper, we investigate the sign of permutations induced by the Anick automorphism and the Nagata-Anick automorphism over finite fields. We shall prove that if the Anick automorphism and the Nagata-Anick automorphism are defined over a prime field of characteristic two, they induce odd permutations, and otherwise, they induce even permutations.

Keywords: Polynomial automorphism; finite field; permutation; Anick automorphism; Nagata-Anick automorphism (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:9:y:2017:i:4:p:23-29

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