Lehmer sequences in finite groups

  • Ö. Deveci
  • E. Karaduman

Abstract

We study the Lehmer sequences modulo $m$. Moreover, we define the Lehmer orbit and the basic Lehmer orbit of a 2-generator group $G$ for a generating pair $(x, y) \in G$ and examine the lengths of the periods of these orbits. Furthermore, we obtain the Lehmer lengths and the basic Lehmer lengths of the Fox groups $G_{1,t}$ for $t \geq 3$.
Published
25.02.2016
How to Cite
Deveci Ö., and KaradumanE. “Lehmer Sequences in Finite Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 2, Feb. 2016, pp. 175-82, http://umj.imath.kiev.ua/index.php/umj/article/view/1832.
Section
Research articles