English

Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic five

Dynamical Systems 2012-12-06 v2 Number Theory

Abstract

In this paper we study the structure of the graphs associated with the iterations of the map xx+x1x \mapsto x+x^{-1} over finite fields of characteristic five.

Keywords

Cite

@article{arxiv.1110.0968,
  title  = {Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic five},
  author = {Simone Ugolini},
  journal= {arXiv preprint arXiv:1110.0968},
  year   = {2012}
}

Comments

17 pages, 1 example. Some proofs have been expanded. Fixed typos. arXiv admin note: text overlap with arXiv:1107.4565