The structure of a group of permutation polynomials

Journal of the Australian Mathematical Society

Gary L. Mullen¹ 

[1] Harald Niederreiter

关键词: 12 C 05;    20 B 25;    20 E 22;    51 F 15;   

DOI  :  10.1017/S1446788700023016

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let Gq be the group of permutations of the finite field Fq of odd order q that can be represented by polynomials of the form ax(q+1)/2 + bx with a, b ∈ Fq. It is shown that Gq is isomorphic to the regular wreath product of two cyclic groups. The structure of Gq can also be described in terms of cyclic, dicyclic, and dihedral groups. It also turns out that Gq is isomorphic to the dymmetry group of a regular complex polygon.

【 授权许可】

Unknown