Sign of Permutations Induced by Anick and Nagata-Anick Automorphisms over Finite Fields
- Keisuke Hakuta
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.
- Full Text: PDF
- DOI:10.5539/jmr.v9n4p23
This work is licensed under a Creative Commons Attribution 4.0 License.
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