The structure of a group of permutation polynomials

Gary L. Mullen, Harald Niederreiter

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 symmetry group of a regular complex polygon.

Original languageEnglish (US)
Pages (from-to)164-170
Number of pages7
JournalJournal of the Australian Mathematical Society
Issue number2
StatePublished - Mar 1985

All Science Journal Classification (ASJC) codes

  • General Mathematics


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