Permutation groups generated by binomials
Group Theory
2013-12-11 v1
Abstract
Let G(q) be the group of permutations of the finite field F_q which is generated by those permutations that can be written as c-->ac^m+bc^n with 0<m<n<q and a,b in F_q with ab nonzero. We show that there are infinitely many q for which G(q) is the group of all permutations of F_q which fix 0. This resolves a conjecture of Vasilyev and Rybalkin.
Keywords
Cite
@article{arxiv.1312.2649,
title = {Permutation groups generated by binomials},
author = {Michael E. Zieve},
journal= {arXiv preprint arXiv:1312.2649},
year = {2013}
}
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13 pages